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PEOPLE
Romanov Vladimir Gavrilovich
Romanov Vladimir Gavrilovich
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1970)

Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 5.11.1938
Phone: +7 (383) 329 76 60
Fax: +7 (383) 333 25 98
E-mail:
Keywords: uniqueness, stability, estimation of solutions, inverse problems, integral geometry, numerical methods
UDC: 514, 517.7, 517.9, 517.944, 517.946, 517.95, 517.956, 517.958, 517.54, 519.633
MSC: 35L15, 35R25, 35R30, 47A52, 58J47, 65F18, 65R32, 74J25, 78A46, 80A23, 35L20, 35Q99, 65M06

Subject:

Differential equations, inverse problems of mathematical physics, tomography, applications in acoustics, geophysics, electrodynamics


Main publications:
  1. Romanov V.G., Yamamoto M., “Recovering two coefficients in an elliptic equation via phaseless information”, Inverse Problems and Imaging, 13:1 (2019). 81-91  crossref  mathscinet  zmath  isi  scopus
  2. V. G. Romanov, “Phaseless inverse problems that use wave interference”, Siberian Math. J., 59:3 (2018), 494–504  mathnet  crossref  crossref  isi  elib  scopus
  3. V. G. Romanov, “Regularization of a solution to the Cauchy problem with data on a timelike plane”, Siberian Math. J., 59:4 (2018), 694–704  mathnet  crossref  crossref  isi  elib  scopus
  4. V. G. Romanov, “Estimation of the solution stability of the Cauchy problem with the data on a time-like plane”, J. Appl. Industr. Math., 12:3 (2018), 531–539  mathnet  crossref  crossref  elib  elib  scopus
  5. V. G. Romanov, T. V. Bugueva, V. A. Dedok, “Regularization of the solution of the Cauchy problem: the quasi-reversibility method”, J. Appl. Industr. Math., 12:4 (2018), 716–728  mathnet  crossref  crossref  mathscinet  zmath  elib  elib  scopus
  6. Romanov V.G., Yamamoto M., “Phaseless inverse problems with interference waves”, Journal of Inverse and Ill-Posed Problems, 26:5 (2018), 681-688 . https://doi.org/10.1515/jiip-2018-0037  crossref  mathscinet  zmath  isi  scopus
  7. Romanov V.G., Yamamoto M., “Phaseless inverse problems with interference waves”, Journal of Inverse and Ill-Posed Problems, 26:5 (2018), 681-688 . https://doi.org/10.1515/jiip-2018-0037  crossref  mathscinet  zmath  isi  scopus
  8. Romanov V.G., Karchevsky A.L., “Determination of permittivity and conductivity of vicinity of a well having complex profile”, Eurasian J. of Mathematical and Computer Applications, 6:4 (2018), 62-72  mathnet  crossref  isi  scopus
  9. Romanov V. G., “Problem of determining the permittivity in the stationary system of Maxwell equations”, Doklady Mathematics, 95:3 (2017), 230-234  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  10. Romanov V. G., “The problem of recovering the permittivity coefficient from the modulus of the scattered electromagnetic field”, Siberian Mathem. J., 58:4 (2017), 711-717  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
  11. Klibanov M. V., Romanov V. G., “Uniqueness of a 3-D coefficient inverse scattering problem without the phase information”, Inverse Problems, 2017, 095007 , 10 pp.  crossref  mathscinet  zmath
  12. A. Hasanov Hasanoğlu, V. G. Romanov, Introduction to Inverse Problems for Differential Equations, Springer International Publishing, 2017 , 274 pp.  crossref  mathscinet  zmath  scopus
  13. M. V. Klibanov, V. G. Romanov, “Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation”, Inverse Problems, 32:2 (2016), 015005 , 16 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus
  14. M. V. Klibanov, V. G. Romanov, “Reconstruction procedures for two inverse scattering problem without the phase information”, SIAM J. Appl. Math., 76:1 (2016), 178-196  crossref  mathscinet  zmath  isi  elib  scopus
  15. V. G. Romanov, “A problem of recovering a special two-dimension potential in a hyperbolic equation”, Eurasian J. of Mathematical and Computer Applications, 4:1 (2016), 32-46.  crossref  isi
  16. B. Mukanova,V. G. Romanov, “Inverse source problem for wave equation”, Eurasian J. of Mathematical and Computer Applications, 4:3 (2016), 16-28  crossref  isi
  17. V. G. Romanov, “An inverse problem for a layered film on a substrate”, Eurasian J. of Mathematical and Computer Applications, 4:3 (2016), 29-38  crossref  mathscinet  isi
  18. V. G. Romanov, “An inverse problem for a layered film on a substrates”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016), 29–38  mathnet
  19. V. G. Romanov, B. G. Mukanova, “Inverse source problem for wave equation and GPR data interpretation problem”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016), 15–28  mathnet
  20. V. G. Romanov, “A problem of recovering a special two dimension potential in a hyperbolic equation”, Eurasian Journal of Mathematical and Computer Applications, 4:1 (2016), 32–46  mathnet
  21. M. V. Klibanov, V. G. Romanov, “Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures”, J. of Inverse and Ill-Posed Problems, 23:2 (2015), 187-193  crossref  mathscinet  zmath  isi
  22. M. V. Klibanov, V. G. Romanov, “Explicit solution of 3-D phaseless inverse scattering problems for the Schrödinger equation: the plane wave case”, Eurasian J. of Mathematical and Computer Applications, 3:1 (2015), 48-63  crossref  scopus
  23. V. G. Romanov, “An asymptotic expansion of the fundamental solution for a parabolic equation and inverse problems”, Doklady Mathematics, 92:2 (2015), 541-544  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
  24. M. V. Klibanov, V. G. Romanov, “The first solution of a long standing problem: Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation”, J. of Inverse and Ill-Posed Problems, 23:4 (2015), 415-428  crossref  mathscinet  zmath  isi  scopus
  25. V. G. Romanov, “Some geometric aspects in inverse problems”, Eurasian J. of Mathematical and Computer Applications, 3:4 (2015), 68-84  crossref  scopus
  26. V. G. Romanov, “On the determination of the coefficients in the viscoelasticity equations”, Siberian Math. J., 55:3 (2014), 503–510  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  27. V. G. Romanov, “Recovering jumps in X-ray tomography”, J. Appl. Industr. Math., 8:4 (2014), 582–593  mathnet  crossref  mathscinet  elib
  28. V. G. Romanov, “Reconstruction of discontinuities in a problem of integral geometry”, Doklady Mathematics, 90:3 (2014), 758-761  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  29. V. G. Romanov, “Inverse problems for differential equations with memory”, Eurasian J. of Mathematical and Computer Applications, 2:4 (2014), 51-80  crossref  scopus
  30. A. Hasanov, V. G. Romanov, “An inversion coefficient problem related to elastic-plastic torsion of a circular cross-section bar”, Applied Mathematics Letters, 26:5 (2013), 533–538  crossref  mathscinet  zmath  elib  scopus
  31. V.G. Romanov, “An asymptotic expansion for a solution to viscoelasticity equations”, Eurasian J. of Mathematical and Computer Applications, 1:1 (2013), 42-62  crossref  scopus
  32. V. G. Romanov, Ju. A. Chirkunov, “Nonscattering acoustic objects in an anisotropic medium of special kind”, Doklady Mathematics, 87:1 (2013), 73-75  crossref  crossref  mathscinet  mathscinet  zmath  elib  scopus
  33. V. G. Romanov, “An asymptotic expansion for a solution to viscoelasticity equations”, Eurasian Journal of Mathematical and Computer Applications, 1:1 (2013), 41–61  mathnet
  34. V. G. Romanov, “Stability estimates for the solution in the problem of determining the kernel of the viscoelasticity equation”, J. Appl. Industr. Math., 6:3 (2012), 360–370  mathnet  crossref  mathscinet  elib
  35. V. G. Romanov, “A two-dimensional inverse problem for the viscoelasticity equation”, Siberian Math. J., 53:6 (2012), 1128–1138  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  36. V. G. Romanov, “A two-dimension inverse problem for an integro-differential equation of electrodynamics”, Proceedings of the Steklov Institute of Mathematics, 280:1 (2013), 151-157  mathnet  crossref  mathscinet  isi  elib  scopus
  37. V. G. Romanov, “Problem of kernel recovering for the viscoelasticity equation”, Doklady Mathematics, 86:2 (2012), 608-610  crossref  mathscinet  zmath  elib  scopus
  38. G.V. Alekseev, R.V. Brizitskii, V. G. Romanov, “Stability estimates for solutions of boundary control problems for Maxwell's equations with mixed boundary conditions”, Soviet Math. Dokl., 86, 3 (2012), 733-737  crossref  mathscinet  zmath  scopus
  39. V. G. Romanov, P. S. Moshkalev, “The one-dimensional inverse problem of finding a tsunami source”, Sib. Zh. Ind. Mat., 14:3 (2011), 87–99  mathnet  mathscinet
  40. G. V. Alekseev, V. G. Romanov, “One class of nonscattering acoustic shells for a model of anisotropic acoustics”, J. Appl. Industr. Math., 6:1 (2012), 1–5  mathnet  crossref  mathscinet  isi  elib  scopus
  41. V. G. Romanov, “A stability estimate for a solution to an inverse problem of electrodynamics”, Siberian Math. J., 52:4 (2011), 682–695  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  42. V. G. Romanov, “A three-dimensional inverse problem of viscoelasticity”, Doklady Mathematics, 84:3 (2011), 833-836  crossref  mathscinet  zmath  elib  scopus
  43. V. G. Romanov, “A two-dimensional inverse problem of viscoelasticity”, Doklady Mathematics, 84:2 (2011), 649-652  crossref  mathscinet  zmath  elib  scopus
  44. V. G. Romanov, “The problem of determining the kernel of electrodynamics equations for dispersion media”, Doklady Mathematics, 84:2 (2011), 613–616  crossref  mathscinet  zmath  elib  scopus
  45. V. G. Romanov, “A stability estimate of a solution to the problem of a determination of a kernel in integro-differential equations of the electrodynamics”, Doklady Mathematics, 84:1 (2011), 518-521  crossref  mathscinet  zmath  elib  scopus
  46. A. Lorenzi, V. G. Romanov, “Recovering two Lamé kernels in a viscoelastic system”, Inverse Problems and Imaging, 5:2 (2011), 431-464  crossref  mathscinet  zmath  scopus
  47. V. G. Romanov, “Obratnye zadachi dlya uravnenii elektrodinamiki”, Trudy vtoroi mezhdunarodnoi molozhezhnoi shkoly-konferentsii «Teoriya i chislennye metody resheniya obratnykh i nekorrektnykh zadach», chast I, Sibirskie elektr. matem. izvestiya, 8 (2011), S.346 -S.353
  48. V. G. Romanov, “Itogovyi nauchnyi otchet po integratsionnomu proektu SO RAN i DVO RAN: “Obratnye i ekstremalnye zadachi elektromagnitnogo i akusticheskogo zondirovaniya mirovogo okeana””, Sibirskie elektr. matem. izvestiya, 8 (2011), S.3-S.13  mathnet
  49. G. V. Alekseev, V. G. Romanov, “Klass nerasseivayuschikh ob'ektov dlya uravnenii akustiki anizotropnoi sredy”, Sibirskie elektr. matem. izvestiya, 8 (2011), S.37-S.43
  50. V. G. Romanov, “Obratnye zadachi dlya integro-differentsialnykh uravnenii elektrodinamiki i vyazkouprugosti”, Sibirskie elektr. matem. izvestiya, 8 (2011), S.160-S.171
  51. V. G. Romanov, “Otsenka ustoichivosti resheniya v zadache opredeleniya yadra uravneniya vyazkouprugosti”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2010, 246 - 253
  52. V. G. Romanov, “The inverse diffraction problem for acoustic equations”, Doklady Mathematics, 81:2 (2010), 238-240  crossref  mathscinet  zmath  elib  scopus
  53. V. G. Romanov, M. Yamamoto, “Recovering a Lamé kernel in a viscoelastic equation by a single boundary measurement”, Applicable Analysis, 89:3 (2010), 377-390  crossref  mathscinet  zmath  elib  scopus
  54. A. S. Alekseev, B. M. Glinskii, V. G. Romanov i dr., Metody resheniya pryamykh i obratnykh zadach seismologii, elektromagnetizma i eksperimentalnye issledovaniya v problemakh izucheniya geodinamicheskikh protsessov v kore i verkhnei mantii zemli, Integratsionnye proekty, 27, Sibirskoe otdelenie RAN, eds. B. G. Mikhailenko, M. I. Epov, Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, Novosibirsk, 2010 , 310 pp.
  55. V. G. Romanov, S. I. Kabanikhin, M. A. Shishlenin, “Investigation of mathematical model of electromagnetic probe in axially symmetrical borehole”, Sib. Èlektron. Mat. Izv., 7 (2010), 307–321  mathnet
  56. V. G. Romanov, “Stability in inverse problems for hyperbolic equations”, Sib. Èlektron. Mat. Izv., 7 (2010), 4–10  mathnet
  57. V. G. Romanov, “On smoothness of a fundamental solution to a second order hyperbolic equation”, Siberian Math. J., 50:4 (2009), 700–705  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  58. V. G. Romanov, “Stability estimates of solutions to ill-posed Cauchy problem for electrodynamics and elasticity equations”, Sib. Èlektron. Mat. Izv., 5 (2008), 531–542  mathnet  mathscinet  elib
  59. V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting””, Sib. Èlektron. Mat. Izv., 5 (2008), 427–439  mathnet  elib
  60. V. G. Romanov, “The asymptotic expansion of the solution to the system of elasticity equations with concentrated pulse force. // J. of Applied and Industrial Mathematics”, J. Appl. Industr. Math., 3:4 (2009), 482–495  mathnet  crossref  mathscinet  elib  scopus
  61. V. G. Romanov, “On the problem of determining the parameters of a layered elastic medium and an impulse source”, Siberian Math. J., 49:5 (2008), 919–943  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  62. V. G. Romanov, “A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations”, J. of Inverse and Ill-Posed Problem, 16:6 (2008), 617-625  crossref  mathscinet  scopus
  63. V. G. Romanov, “Determining the parameters of a stratified piecewise constant medium for the unknown shape of an impulse source”, Siberian Math. J., 48:6 (2007), 1074–1084  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
  64. V. G. Romanov, “On the problem of determining the structure of a layered medium and the shape of an impulse source”, Siberian Math. J., 48:4 (2007), 694–706  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
  65. V. V. Vasin, S. I. Kabanikhin, V. G. Romanov, “Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)”, Sib. Zh. Ind. Mat., 10:3 (2007), 3–12  mathnet  mathscinet
  66. S. I. Kabanikhin, V. G. Romanov, V. V. Vasin, “Pioneering papers by M.M. Lavrentiev”, J. of Inverse and Ill-Posed Problems, 15:4 (2007), 441-450  mathscinet  zmath
  67. A. Lorenzi, F. Messina, V. G. Romanov, “Recovering a Lamé kernel in a viscoelastic system”, Applicable Analysis, 86:11 (2007), 1375-1395  crossref  mathscinet  zmath  scopus
  68. V. G. Romanov, “Inverse problem for the elasticity equations with an impulse source of unknown form”, Doklady Mathematics, 76:3 (2007), 948-954  mathnet  crossref  mathscinet  zmath  elib  scopus
  69. V. G. Romanov, “Inverse problems for the wave equation with an impulse source of unknown form”, Doklady Mathematics, 76:2 (2007), 713-717  mathnet  crossref  mathscinet  mathscinet  zmath  elib  scopus
  70. V. G. Romanov, “Estimates for a solution to one differential inequality”, Siberian Math. J., 47:3 (2006), 517–525  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
  71. V. G. Romanov, “Carleman estimates for second-order hyperbolic equations”, Siberian Math. J., 47:1 (2006), 135–151  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
  72. V. G. Romanov, “Estimate of solution stability in a two-dimensional inverse problem for elasticity equations”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S150–S160  mathnet  crossref  mathscinet  zmath  elib  scopus
  73. V. G. Romanov, “Stability estimates in inverse problems for hyperbolic equations”, Milan J. Math., 74 (2006), 357-385  crossref  mathscinet  elib  scopus
  74. V. G. Romanov, “A stability estimate for the solution to the problem for the electrodynamic equations with data on a timelike surface”, Doklady Mathematics, 74:3 (2006), 795-798  mathnet  crossref  mathscinet  zmath  elib  scopus
  75. S. He, R. Liao, V. G. Romanov, “Analytical method for the identification of a thin-strip defect in a planar waveguide”, J. Optical Society of America A, 23:10 (2006), 2650-2656  crossref  adsnasa  scopus
  76. V. G. Romanov, “Estimate of the solution to the Cauchy problem for an ultrahyperbolic inequality”, Doklady Mathematics, 74:2 (2006), 751-754  mathnet  crossref  mathscinet  zmath  elib  scopus
  77. V. G. Romanov, “Stability estimate for the solution to the elasticity equations with data on a timelike surface”, Doklady Mathematics, 74:2 (2006), 653-655  mathnet  crossref  mathscinet  zmath  elib  scopus
  78. A. Lorenzi, V. G. Romanov, “Stability estimates for an inverse problem related to viscoelastic media”, J. of Inverse and Ill-Posed Problems, 14:1 (2006), 57-82  crossref  mathscinet  zmath  scopus
  79. V. G. Romanov, “Estimates of a solution to a differential inequality related to a second-order hyperbolic operator and Cauchy data on a timelike surface”, Doklady Mathematics, 73:1 (2006), 51-53  mathnet  crossref  mathscinet  zmath  elib  scopus
  80. V. G. Romanov, “A stability estimate for a solution to the wave equation with the Cauchy data on a timelike cylindrical surface”, Siberian Math. J., 46:5 (2005), 925–934  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
  81. V. G. Romanov, Ustoichivost v obratnykh zadachakh, Nauchnyi mir, Moskva, 2005 , 296 pp.
  82. V. G. Romanov, “Carleman estimates for a hyperbolic equation”, Doklady Mathematics, 72:3 (2005), 964-968  mathnet  mathscinet  zmath  elib
  83. V. G. Romanov, M. Yamamoto, “On the determination of the sound speed and a damping by two measurements”, Appl. Anal., 84:10 (2005), 1025-1039  crossref  mathscinet  zmath  scopus
  84. V. G. Romanov, “Stability estimate in the problem of extending the solution to the wave equation from a timelike cylindrical surface”, Doklady Mathematics, 72:2 (2005), 690-693  mathnet  mathscinet  zmath  elib
  85. V. G. Romanov, “Stability estimate of the solution to the problem of determining dielectric permittivity and electric conductivity”, Doklady Mathematics, 71:1 (2005), 154 - 159  mathnet  mathscinet  elib
  86. V. G. Romanov, “Otsenki ustoichivosti resheniya nekorrektnoi zadachi Koshi dlya giperbolicheskogo uravneniya”, Materialy III mezhdunarodnoi konferentsii «Matematicheskoe modelirovanie i informatsionnye tekhnologii v obrazovanii i nauke», 29 sent.-2 okt. 2005 g., 1, Kazakhskii natsionalnyi pedagogicheskii universitet im. Abaya,, Almaty, 2005, 328 – 332
  87. V. G. Romanov, “A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations”, Siberian Math. J., 45:6 (2004), 1098–1112  mathnet  crossref  mathscinet  zmath  isi  scopus
  88. V. G. Romanov, “A stability estimate for a solution of the problem of determining the dielectric permittivity”, Siberian Math. J., 45:4 (2004), 730–739  mathnet  crossref  mathscinet  zmath  isi  scopus
  89. V. G. Romanov, M. Yamamoto, “On the determination of wave speed and potential in a hyperbolic equation by two measurements”, Contemporary Mathematics, 348 (2004), 1-10  crossref  mathscinet  zmath
  90. S. He, V. G. Romanov, J. Xu, “A simple analytical method for calculation the leakage loss of a buried rectangular waveguide”, Journal of Optics A: Pure and Applied Optics, 6 (2004), 57-62  crossref  adsnasa  scopus
  91. V. G. Romanov, “On one approach to an inverse problem solution for a hyperbolic equation”, Sib. Zh. Vychisl. Mat., 6:4 (2003), 431–439  mathnet  zmath
  92. V. G. Romanov, “An example of the absence of a global solution to some inverse problem for a hyperbolic equation”, Siberian Math. J., 44:5 (2003), 867–868  mathnet  crossref  mathscinet  zmath  isi  scopus
  93. V. G. Romanov, “A stability estimate for a solution to a two-dimensional inverse problem of electrodynamics”, Siberian Math. J., 44:4 (2003), 659–670  mathnet  crossref  mathscinet  zmath  isi  scopus
  94. D. I. Glushkova, V. G. Romanov, “A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation”, Siberian Math. J., 44:2 (2003), 250–259  mathnet  crossref  mathscinet  zmath  isi  scopus
  95. M. M. Lavrent'ev, Yu. L. Ershov, S. S. Kutateladze, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. G. Reshetnyak, V. G. Romanov, V. D. Mazurov, “Sergei L'vovich Sobolev”, Sibirsk. Mat. Zh., 44:5 (2003), 953–960  mathnet  mathscinet  zmath
  96. S. He, V. G. Romanov, X. Ao, “General properties of $N\times M$ self-images in a strongly-confined rectangular waveguide”, Applied Optics, 42:24 (2003), 4855-4859  crossref  adsnasa  scopus
  97. V. G. Romanov, “Stability of the solution to a two-dimensional inverse problem of electrodynamics”, Doklady Mathematics, 68:4 (2003), 659-670  mathnet  mathscinet  zmath
  98. S. He, J. Lu, V. G. Romanov, “Study of the leakage loss in a selica-on-selicon slab waveguide”, Fiber and Integrated Optics, 22:4 (2003), 249-261  crossref  adsnasa  scopus
  99. V. G. Romanov, D. I. Glushkova, “A problem of determining two coefficients of a hyperbolic equation”, Doklady Mathematics, 67:3 (2003), 386-390  mathnet  mathscinet  zmath
  100. V. G. Romanov, “Stability of the determination of the electrical conductivity in equations of electrodynamics”, Doklady Mathematics, 67:2 (2003), 167-171  mathnet  mathscinet  zmath
  101. V. G. Romanov, C. I Weng, T. C. Chen, “An inverse problem for a layered elastic plate”, Applied Mathematics and Computation, 137:2-3 (2003), 349-369  crossref  mathscinet  zmath  scopus
  102. V. G. Romanov, “A stability estimate for a solution in the inverse problem of finding the coefficients of lower derivatives”, Siberian Math. J., 43:3 (2002), 568–574  mathnet  crossref  mathscinet  zmath  isi  scopus
  103. Yu. E. Anikonov, A. L. Bukhgeim, V. P. Golubyatnikov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)”, Sib. Zh. Ind. Mat., 5:2 (2002), 3–6  mathnet  mathscinet  zmath
  104. V. G. Romanov, Investigation Methods for Inverse Problems, VSP, Utrecht, 2002 , 280 pp.  mathscinet  zmath
  105. S. He, V. G. Romanov, H. Zhang, “Explicit identification of multiple small breast cancers in an optical mammography imaging”, Inverse Problems, 18:6 (2002), 1555-1567  crossref  mathscinet  zmath  adsnasa  scopus
  106. V. G. Romanov, “Uniqueness theorems for an inverse problem related to local heterogeneities and data on a piece of a plane”, Ill-Posed and Inverse Problems, eds. V. G. Romanov and S. I. Kabanikhin, VSP, Utrecht, 2002, 383-398  crossref  mathscinet  zmath
  107. V. G. Romanov, “Otsenka ustoichivosti resheniya v odnoi obratnoi zadache dlya sistemy uravnenii Maksvella”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2002, 196-205  zmath
  108. V. G. Romanov, “An inverse problem of electrodynamics”, Doklady Mathematics, 66:2 (2002), 200-205  mathnet  mathscinet  zmath
  109. S. He, V. G. Romanov, H. Zhang, “Explicit identification of a small breast cancer in a mammography”, J. of Inverse and Ill-Posed Problems, 10:1 (2002), 23-36  mathscinet  zmath
  110. V. G. Romanov, “Otsenka ustoichivosti v odnoi obratnoi zadache dlya sistemy uravnenii Maksvella”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki SO RAN, Novosibirsk, 2002, 196-205  zmath
  111. V. G. Romanov, C. I Weng, T. C. Chen, “An inverse scattering problem for a layered elastic half-space”, J. of Inverse and Ill-Posed Problems, 9:5 (2001), 531-546  crossref  mathscinet  zmath  scopus
  112. V. G. Romanov, “Uniqueness theorems for some inverse problems”, Doklady Mathematics, 64:2 (2001), 241-243  mathnet  mathscinet  zmath
  113. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, S. S. Kutateladze, P. I. Plotnikov, Yu. G. Reshetnyak, V. G. Romanov, “Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)”, Sibirsk. Mat. Zh., 41:5 (2000), 969–983  mathnet  mathscinet  zmath
  114. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, V. D. Mazurov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Yurii Leonidovich Ershov (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 41:2 (2000), 243–246  mathnet  mathscinet
  115. S. He, V. G. Romanov, “Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain”, J. of Inverse and Ill-Posed Problems, 8:5 (2000), 562-572  crossref  mathscinet  scopus
  116. V. G. Romanov, “The problem of determining the layered structure of the ocean floor”, Doklady Mathematics, 62:1 (2000), 132-136  mathnet  mathscinet  zmath
  117. V. G. Romanov, “A stability estimate for the solution to the problem of determining the coefficients of the first derivatives in a second order hyperbolic equation”, Doklady Mathematics, 62:1 (2000), 81-83  mathnet  mathscinet  zmath
  118. V. G. Romanov, C. I Weng, T. C. Chen, “An inverse problem related to layered elastic plate”, J. of Inverse and Ill-Posed Problems, 8:4 (2000), 421-447  crossref  mathscinet  zmath  scopus
  119. S. He, V. G. Romanov, M. Popov, “Explicit full identification of a transient dipole source in the atmosphere from measuring of the electromagnetic field at several points at ground level”, Radio Science, 35:1 (2000), 107-117  crossref  adsnasa  scopus
  120. S. He, V. G. Romanov, “Some uniqueness theorems for mammography-related time-domain inverse problem for diffusion equation”, Inverse Problems, 16:2 (2000), 447-459  crossref  mathscinet  zmath  adsnasa  scopus
  121. V. G. Romanov, “A stability estimate in the inverse problem of determining the speed of sound”, Siberian Math. J., 40:6 (1999), 1119–1133  mathnet  crossref  mathscinet  zmath  isi  scopus
  122. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei Konstantinovich Godunov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 40:3 (1999), 483–484  mathnet  mathscinet  zmath
  123. S. He, V. G. Romanov, “Identification of small flaws in conductors with magnetostatic measurements”, Mathematics and Computers in Simulations, 50:5/6 (1999), 457-471  mathscinet
  124. V. G. Romanov, “Stability estimation in the problem determining the speed of sound”, Doklady Mathematics, 60:2 (1999), 196-200  mathnet  mathscinet  zmath
  125. S. He, V. G. Romanov, “Explicit formulas for crack identification in conductors using boundary measurements of direct currents fields”, Journal of Applied Physics, 85:9 (1999), 6822-6827  crossref  adsnasa  scopus
  126. V. G. Romanov, M. Yamamoto, “Multidimensional inverse hyperbolic problem by impulsive input and a single boundary measurement”, J. of Inverse and Ill-Posed Problems, 7:6 (1999), 573-588  crossref  mathscinet  zmath  scopus
  127. S. He, V. G. Romanov, “An optical tomography-related time-domain inverse problem for the diffusion equation”, J. of Inverse and Ill-Posed Problems, 7:4 (1999), 365-380  crossref  mathscinet  zmath  scopus
  128. V. G. Romanov, “A Conditional Stability Theorem in the Problem of Determining the Dispersion Index and Relaxation for the Stationary Transport Equation”, Siberian Adv. Math., 7:1 (1997), 86–122  mathnet  mathscinet  zmath
  129. V. G. Romanov, “On an estimate for the stability of the solution of an inverse problem for a hyperbolic equation”, Siberian Math. J., 39:2 (1998), 381–393  mathnet  crossref  mathscinet  zmath  isi  scopus
  130. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei L'vovich Sobolev (1908–1989)”, Sibirsk. Mat. Zh., 39:4 (1998), 723–729  mathnet  mathscinet  zmath
  131. V. G. Romanov, S. I. Kabanikhin, “Direct and inverse problems of electromagnetoelasticity”, Physics and Chemistry of the Earth, 23:9/10 (1998), 883-894  crossref  adsnasa  scopus
  132. V. G. Romanov, J. Gottlieb, “Joint inversion of transient electromagnetic and proton resonance surface data by coupled Maxwell's and Bloch's equations”, J. of Inverse and Ill-Posed Problems, 6:3 (1998), 263-279  crossref  mathscinet  zmath  scopus
  133. S. He, V. G. Romanov, “Identification of dipole sources in a bounded domain for Maxwell's equations”, Wave Motions, 28:5 (1998), 25-40  mathscinet  zmath
  134. A. S. Alekseev, S. V. Goldin, V. G. Romanov, “Geotomografiya: teoriya, chislennye metody, sozdanie effektivnykh algoritmov, otsenka ustoichivosti”, Integratsionnaya programma fundamentalnykh issledovanii, Sibirskoe otdelenie AN SSSR, Novosibirsk, 1998, 8-24
  135. V. G. Romanov, “A theorem on local unique solvability in a one-dimensional inverse problem for a system of Maxwell–Bloch equations”, Siberian Math. J., 38:3 (1997), 584–596  mathnet  crossref  mathscinet  zmath  isi  scopus
  136. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “On the fortieth anniversary of the Siberian Branch of the Academy of Sciences”, Sibirsk. Mat. Zh., 38:3 (1997), 483–484  mathnet  mathscinet  zmath
  137. Ju. E. Anikonov, V. G. Romanov, “On uniqueness of determination of a form of first degree by its integrals along geodesics”, of Inverse and Ill-Posed Problems, 5:6 (1997), 487- 490  mathscinet  zmath
  138. V. G. Romanov, “Stability estimates in the three-dimensional inverse problem for the transport equation”, J. of Inverse and Ill-Posed Problems, 5:5 (1997), 463-475  crossref  mathscinet  zmath  scopus
  139. V. G. Romanov, “An estimate of the conditional stability of the solution to an inverse problem with a fixed point source”, Doklady Mathematics, 56:1 (1997), 578-580  mathnet  mathscinet  zmath
  140. V. G. Romanov, J. Gottlieb, S. I. Kabanikhin, S. V. Martakov, “An inverse problem for special dispersive media arising from ground penetrating radar”, J. of Inverse and Ill-Posed Problems, 5:2 (1997), 175-192  crossref  mathscinet  zmath  scopus
  141. V. G. Romanov, J. Gottlieb, “An inverse problem of the linearized Maxwell-Bloch system for layered media”, J. of Inverse and Ill-Posed Problems, 5:1 (1997), 85-100  crossref  mathscinet  zmath  scopus
  142. V. G. Romanov, “A Conditional Stability Theorem in the Problem of Determining the Dispersion Index and Relaxation for the Stationary Transport Equation”, Siberian Adv. Math., 7:1 (1997), 86–122  mathnet  mathscinet  zmath
  143. V. G. Romanov, “A local version of a numerical method for solving an inverse problem”, Siberian Math. J., 37:4 (1996), 797–810  mathnet  crossref  mathscinet  zmath  isi  scopus
  144. V. G. Romanov, “On a numerical method for solving a certain inverse problem for a hyperbolic equation”, Siberian Math. J., 37:3 (1996), 552–572  mathnet  crossref  mathscinet  zmath  isi  scopus
  145. V. G. Romanov, “A stability estimate in the problem of determining the dispersion index and relaxation for the transport equation”, Siberian Math. J., 37:2 (1996), 308–324  mathnet  crossref  mathscinet  zmath  isi  scopus
  146. V. G. Romanov, “Problem of simultaneous recovering the attenuation coefficient and the scattering indicatrix for the stationary transport equation”, Doklady Mathematics, 54:3 (1996), 835-837  mathnet  mathscinet  mathscinet  zmath
  147. V. G. Romanov, “Inverse problem for an integro-differential equation that contains a parameter”, Doklady Mathematics, 54:2 (1996), 745-747  mathnet  mathscinet  zmath
  148. V. G. Romanov, “Stability estimates in problems recovering the attenuation coefficient and the scattering indicatrix for the transport equation”, J. of Inverse and Ill-Posed Problems.}, 4:4 (1996), 297-305  crossref  mathscinet  zmath  scopus
  149. S. He, V. G. Romanov, “Inverse problem for a 3D inhomogeneous electromagnetic plasma”, Journal of Inverse and Ill-Posed Problems, 4:2 (1996), 153-170  crossref  mathscinet  zmath  scopus
  150. V. G. Romanov, J. Gottlieb, S. I. Kabanikhin, S. Schlaeger, “Identification of electromagnetic parameters for media with microstructure”, Conference on Inverse Problems of Wave Propagation and Diffraction (Aix-les-Bains, France, September 23-27, 1996), 1996, 18-21
  151. V. G. Romanov, “On a regularizing algorithm for solving the inverse problem for a hyperbolic equation”, Doklady Mathematics, 53:1 (1996), 39-42  mathnet  mathscinet  zmath
  152. V. G. Romanov, “Structure of a solution to the Cauchy problem for the system of the equations of electrodynamics and elasticity in the case of point sources”, Siberian Math. J., 36:3 (1995), 541–561  mathnet  crossref  mathscinet  zmath  isi  scopus
  153. A. S. Aleksev, S. K. Godunov, V. P. Dymnikov, V. P. Il'in, A. N. Konovalov, V. I. Kuzin, M. M. Lavrent'ev, V. V. Smelov, G. A. Mikhailov, V. G. Romanov, “Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 36:3 (1995), 483–487  mathnet  mathscinet
  154. V. G. Romanov, “The structure of the initial boundary problem solution for the one-dimensional transport equation in the case of a point source”, Advanced Mathematics: Computations and Applications, Proceedings of the International Conference AMCA-95 (Novosibirsk, Russia, 20-24 June, 1995), eds. Alekseev A.S., Bakhvalov N.S., NCC Publisher, 1995, 292-297  mathscinet
  155. S. He, V. G. Romanov, “An analysis of the time-domain electromagnetic inverse problem of determining the susceptibility kernel for a stratified dispersive slab”, Journal of Inverse and Ill-Posed Problems, 3:6 (1995), 469-494  crossref  mathscinet  scopus
  156. V. G. Romanov, “On inverse problem for coupled system of equations of electrodynamics and elasticity”, Journal of Inverse and Ill-posed Problems, 3:4 (1995), 321-332  crossref  mathscinet  zmath  scopus
  157. V. G. Romanov, “Stability estimates in an inverse problem for the transfer equation”, Doklady Mathematics, 51:2 (1995), 197-199  mathnet  mathscinet  zmath
  158. V. G. Romanov, “Conditional stability estimates for the two-dimensional problem of restoring the right-hand side and absorption in the transport equation”, Siberian Math. J., 35:6 (1994), 1184–1201  mathnet  crossref  mathscinet  zmath  isi  scopus
  159. V. G. Romanov, S. He, S. Strőm, “Mathematical analysis of the Green function approach to the inverse problem. II. Simultaneous reconstruction”, J. Math. Phys, 35:5 (1994), 2315-2335  crossref  mathscinet  zmath  adsnasa  scopus
  160. V. G. Romanov, S. He, S. I. Kabanikhin, S. Strőm, “Analysis of the Green's function approach to one-dimensional inverse problems. I. One parameter reconstruction”, J. Math. Phys, 34:12 (1993), 5724-5746  crossref  mathscinet  zmath  adsnasa  scopus
  161. V. G. Romanov, “On the well-posedness of inverse problems with the data support located at the domain boundary”, J. of Inverse and Ill-Posed Problems, 1:2 (1993), 153-168  crossref  mathscinet  scopus
  162. A. Lorenzi, V. G. Romanov, “Identification of an electromagnetic coefficient connected with deformation currents”, Inverse Problems, 9:2 (1993), 301-320  crossref  mathscinet  adsnasa  scopus
  163. V. G. Romanov, “O korrektnosti obratnykh zadach s nositelem dannykh, sosredotochennym na granitse oblasti”, Uslovno-korrektnye zadachi matematicheskoi fiziki i analiza, eds. M. M. Lavrentev, Institut matematiki SO RAN, Novosibirsk, 1992, 163-175  zmath
  164. A. Lorenzi, V. G. Romanov, Identification of an electromagnetic coefficient connected with deformation currents, QUADERNO, no. 16, Universitá Degli Studi di Milano, Milan, 1992 , 24 pp.  mathscinet
  165. V. G. Romanov, S. I. Kabanikhin, “Stability estimates for inverse problems of geoelectrics VSP, Utrecht, and TVP, Moscow (1992), pp. 408-416”, Ill-Posed Problems in Natural Sciences, Proceedings of the International Conference Held in Moscow, Aug. 19-25, 1991, VSP, Utrecht, and TVP, Moscow, 1992, 408-416  mathscinet  zmath
  166. V. G. Romanov, “On the problem of determining the coefficients in the lowest order terms of a hyperbolic equation”, Siberian Math. J., 33:3 (1992), 497–500  mathnet  crossref  mathscinet  zmath  isi  scopus
  167. V. G. Romanov, S. I. Kabanikhin, Inverse Problems for Maxwell's Equations, VSP, Utrecht, 1994 , 250 pp.  mathscinet  zmath
  168. V. G. Romanov, “Uniqueness theorems in inverse problems for some second-order equations”, Doklady Mathematics, 44:3 (1991), 678-682  mathnet  mathscinet  zmath
  169. A. Alekseev, M. M. Lavrent'ev, V. G. Romanov, M. E. Romanov, “Theoretical and computational aspects of seismic tomography”, Serveys in Geophysics, 11 (1990), 395-409  crossref  adsnasa  scopus
  170. V. G. Romanov, T. P. Pukhnacheva, “Determination of the coefficients of the system of equations of electrodynamics in a class of functions analytic in some of the variables”, Doklady Mathematics, 41:3 (1990), 417-420  mathnet  mathscinet  zmath
  171. V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Investigation of a differential-difference analogue of a three-dimensional problem in integral geometry”, Soviet Math. Dokl., 41:2 (1990), 306–309  mathnet  mathscinet  zmath
  172. V. G. Romanov, “An inversion formula in a problem of integral geometry on ellipsoids”, Mat. Zametki, 46:4 (1989), 124–126  mathnet  mathscinet  zmath
  173. V. G. Romanov, S. I. Kabanikhin, Obratnye zadachi geoelektriki (chislennye metody resheniya), Preprint № 32, Institut matematiki SO AN SSSR, Novosibirsk, 1989 , 50 pp.  zmath
  174. V. G. Romanov, S. I. Kabanikhin, Obratnye zadachi geoelektriki (teoremy suschestvovaniya i edinstvennosti), Preprint № 25, Institut matematiki SO AN SSSR, Novosibirsk, 1989 , 52 pp.  zmath
  175. V. G. Romanov, “On the solvability of inverse problems for hyperbolic equations in a class of functions analytic in some of variables”, Soviet Math. Dokl., 39:1 (1989), 160-164  mathnet  mathscinet  zmath
  176. V. G. Romanov, “Problem of determination the speed of sound”, Siberian Mathem. J., 4 (1989), 598-605  mathnet  crossref  mathscinet  zmath  isi  scopus
  177. V. G. Romanov, “Local solvability of some multidimensional inverse problems for equations of hyperbolic type”, Diff. Equations, 25:2 (1989), 203-209  mathnet  mathscinet  zmath  zmath
  178. V. G. Romanov, Differ. Uravn., 25:2 (1989), 275–283  mathnet  mathscinet
  179. V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Otsenki uslovnoi ustoichivosti differentsialno-raznostnoi zadachi integralnoi geometrii”, Uslovno korrektnye zadachi, Institut matematiki SO AN SSSR, Novosibirsk, 1988, 129-139  zmath
  180. V. G. Romanov, T. P. Pukhnacheva, “Teorema edinstvennosti resheniya zadachi opredeleniya koeffitsientov sistemy uravnenii Maksvella”, Uslovno korrektnye zadachi, Institut matematiki SO AN SSSR, Novosibirsk, 1988, 64-86  zmath
  181. V. G. Romanov, N. V. Dementeva, “Lokalnaya razreshimost i regulyarizatsiya obratnoi zadachi dlya telegrafnogo uravneniya v tsilindricheskoi oblasti”, Matematicheskii analiz i diskretnaya matematika, Novosibirskii gos. universitet, Novosibirsk, 1988, 72-89
  182. A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, M. E. Romanov,, “Teoreticheskie i vychislitelnye voprosy seismicheskoi tomografii”, Matematicheskoe modelirovanie v geofizike, Nauka, Novosibirsk, 1988, 35-50
  183. V. G. Romanov, S. I. Kabanikhin, “Obratnye zadachi rasprostraneniya vole”, Matematicheskoe modelirovanie v geofizike, Vychislitelnyi tsentr SO AN SSSR, 1987, 151-167
  184. R. G. Mukhometov, V. G. Romanov, “O zadache integralnoi geometrii dlya kompleksno-znachnykh funktsii”, Edinstvennost, ustoichivost i metody resheniya zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, 1987, 58-63
  185. V. G. Romanov, T. P. Pukhnacheva, “Ob odnoznachnoi razreshimosti zadachi opredeleniya provodimosti neodnorodnoi sredy”, Matematicheskii analiz i differentsialnye uravneniya, Novosibirskii gos. universitet, 1987, 111-121  zmath
  186. V. G. Romanov, “Obratnye zadachi geoelektriki”, Matematicheskie metody resheniya obratnykh zadach geofizicheskikh polei, Geofizicheskii institut SAN, Bratislava, 1987, 63-67
  187. V. G. Romanov, “The structure of the fundamental solution of the Cauchy problem for Maxwell's system”, Diff. Equations, 22:9 (1986), 1101-1109  mathnet  mathscinet  zmath
  188. E. Y. Bidaibekov, V. G. Romanov, “Some inverse problems of magnetotelluric sounding for obliquely incident plane waves. II”, U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 133–141  mathnet  crossref  mathscinet  scopus
  189. E. Y. Bidaibekov, V. G. Romanov, “Some inverse problems of magnetotelluric sounding for inclined incident plane waves. I”, U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 30–37  mathnet  crossref  mathscinet  scopus
  190. V. G. Romanov, “Integralnaya geometriya i ee prilozheniya”, Voprosy rekonstruktivnoi tomografii, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1985, 153-163
  191. V. G. Romanov, “On the structure of a fundamental solution of the Cauchy problem for the system of Maxwell's equations”, Soviet Math. Dokl., 31:2 (1985), 385-388.  mathnet  mathscinet  zmath
  192. V. G. Romanov, O. Sh. Mamayusupov, Otsenka ustoichivosti resheniya odnomernoi obratnoi zadachi dlya uravnenii ellipticheskogo tipa, Preprint # 583, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1985 , 48 pp.  mathscinet
  193. V. G. Romanov, E. Bidaibekov, “On the theory of inverse problems of magnetotelluric sounding”, Soviet Math. Dokl., 31:1 (1985), 170-173  mathnet  mathscinet  zmath
  194. V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, Obratnye zadachi elektrodinamiki, Vyislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984 , 202 pp.
  195. V. G. Romanov, Inverse Problems of Mathematical Physics, VNU Science Press, Utrecht, 1987  mathscinet
  196. V. G. Romanov, S. I. Kabanikhin, K. S. Abdiev, Chislennye metody resheniya odnomernykh obratnykh zadach elektrodinamiki, Preprint # 542, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984 , 48 pp.  mathscinet  zmath
  197. V. G. Romanov, M. G. Savin, “Ob opredelenii tenzora provodimosti v anizotropnoi trekhmerno-neodnorodnoi srede. Lineinoe priblizhenie”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1984, no. 5, 63-72
  198. V. G. Romanov, S. I. Kabanikhin, K. Boboev, “An inverse problem for P_n-approximation of the kinetic transport equation”, Soviet Math. Dokl., 29:3 (1984), 496-499  mathnet  mathscinet  zmath  adsnasa
  199. V. G. Romanov, M. G. Savin, “Zadacha opredeleniya tenzora provodimosti v neodnorodnoi po glubine anizotropnoi srede”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1984, no. 2, 84-92
  200. V. G. Romanov, V. G. Yakhno, “Zadacha ob opredelenii tenzora dielektricheskoi pronitsaemosti v sisteme uravnenii Maksvella”, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984, 123-128
  201. V. G. Romanov, “Obratnye zadachi matematicheskoi fiziki”, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984, 118-123
  202. V. G. Romanov, “Uniqueness of the determination of dielectric and magnetic permeability in an anisotropic one-dimensional inhomogeneous medium”, Diff. Equations, 20:2 (1984), 259-265  mathnet  mathscinet
  203. V. G. Romanov, “Extension of data in inverse problems with concentrated sources”, Math. Notes, 34:5 (1983), 838–841  mathnet  crossref  mathscinet  zmath  isi  scopus
  204. V. G. Romanov, K. Boboev, “Zadacha ob opredelenii indikatrisy rasseyaniya v kineticheskom uravnenii perenosa”, Teoriya i metody resheniya nekorrektno postavlennykh zadach i ikh prilozheniya, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983, 118-120
  205. V. G. Romanov, S. I. Kabanikhin, K. Boboev, “Obratnaya zadacha dlya P_n-priblizheniya kineticheskogo uravneniya perenosa”, Metody issledovaniya nekorrektnykh zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983, 94-100
  206. V. G. Romanov, E. Y. Bidaibekov, K zadache magnitotelluricheskikh zondirovanii dlya naklonno padayuschikh ploskikh voln, Preprinnt # 427, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983 , 32 pp.
  207. V. G. Romanov, “Obratnaya zadacha Lemba v lineinom priblizhenii”, Chislennye metody v seismicheskikh issledovaniyakh, Nauka, Novosibirsk, 1983, 170-192
  208. M. M. Lavrent'ev, V. G. Romanov, S. P. Sisatskij, Problemi non ben Posti in Fisica Matematica e Analisi, Problemi non ben posti ed inversi, 12, Istituto Analisi Globale, Firenze., 1983 , 324 pp.
  209. V. G. Romanov, M. G. Savin, “On the theory of direct problems on the electrodynamics of inhomogeneous anisotropic media”, U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 115–125  mathnet  crossref  mathscinet  scopus
  210. V. G. Romanov, “Ob odnoznachnosti opredeleniya koeffitsientov sistemy Maksvella”, Neklassicheskie zadachi dlya uravnenii matematicheskoi fiziki, Institut matematiki SO AN SSSR, Novosibirsk, 1982, 139-142
  211. Yu. E. Anikonov, V. G. Romanov, “Nekotorye zadachi integralnoi geometrii i kinematiki”, Voprosy korrektnosti obratnykh zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1982, 30-36
  212. V. G. Romanov, E. A. Volkova, “Inverse dynamic problems for an anisotropic elastic medium”, Soviet Math. Dokl., 26:3 (1982), 684-687  mathnet  mathscinet  mathscinet  zmath  adsnasa
  213. V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, “On the theory of inverse problems of electrodynamics”, Soviet Math. Dokl., 26:2 (1982), 476-479  mathnet  mathscinet  mathscinet  zmath
  214. V. G. Romanov, “Obratnye zadachi rasprostraneniya seismicheskikh i elektromagnitnykh voln”, Metody resheniya nekorrektnykh zadach i ikh prilozheniya, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1982, 111-118
  215. V. G. Romanov, S. P. Belinskii, M. G. Savin, “K elektrodinamike neodnorodnykh anizotropnykh sred”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1981, no. 2, 106-110
  216. S. P. Belinskii, V. G. Romanov, “Determination of the coefficients of a $t$-hyperbolic system”, Math. Notes, 28:4 (1980), 723–727  mathnet  crossref  mathscinet  zmath  isi  scopus
  217. V. G. Romanov, V. G. Yakhno, “Linearized statement of the problem of determining hyperbolic operators”, Math. Notes, 28:3 (1980), 664–669  mathnet  crossref  mathscinet  zmath  isi  scopus
  218. M. M. Lavrent'ev, V. G. Romanov, S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis, Translations of Mathematical Monographs, 64, American Mathematical Society, Providence, 1986 , 290 pp.  crossref  mathscinet  zmath
  219. V. G. Romanov, “Obratnye zadachi i energeticheskie neravenstva”, Differentsialnye uravneniya s chastnymi proizvodnymi, Nauka, Novosibirsk, 1980, 148-153
  220. V. G. Romanov, “Differentsialnye svoistva fundamentalnogo resheniya uravneniya vtorogo poryadka giperbolicheskogo tipa”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1979, 110-121
  221. Yu. E. Anikonov, V. G. Romanov, “Ob odnoznachnosti opredeleniya formy pervogo poryadka ee integralami vdol geodezicheskikh”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1979, 22-27
  222. P. B. Penev, V. G. Romanov, “The method of moment dynamics in inhomogeneous Poisson transitions of elements”, Autom. Remote Control, 40:4 (1979), 507–512  mathnet  zmath
  223. V. G. Romanov, “Uniqueness of the solution of an inverse problem for first-order hyperbolic systems”, Math. Notes, 24:3 (1978), 692–695  mathnet  crossref  mathscinet  zmath  scopus
  224. V. G. Romanov, “A statement of the converse problem for first-order symmetric hyperbolic systems”, Math. Notes, 24:3 (1978), 692-695  mathnet  crossref  mathscinet  zmath  scopus
  225. V. G. Romanov, Obratnye zadachi dlya differentsialnykh uravnenii. Obratnaya kinematicheskaya zadacha seismiki, Spetskurs dlya studentov NGU, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1978 , 88 pp.
  226. R.G. Mukhometov, V. G. Romanov, “On the problem of determining an isotropic Riemannian metric in $n$-dimensional space”, Soviet Math. Dokl., 19:6 (1978), 1330-1333  mathnet  mathscinet  mathscinet  zmath
  227. V. G. Romanov, “Uniqueness of the solution of an inverse problem for first order hyperbolic systems”, Math. Notes, 24:2 (1978), 692-695  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
  228. V. G. Romanov, “Ob obratnykh zadachakh dlya sistem pervogo poryadka”, Trudy Vsesoyuznoi konferentsii po uravneniyam v chastnykh proizvodnykh (Moskva, MGUb 1976 g.), Moskovskii gos. universitet, 1978, 208-211  zmath
  229. V. G. Romanov, “Integral geometry on the geodesics of an isotropic Riemannian metric”, Soviet Math. Dokl., 19:4 (1978), 847-851  mathnet  mathscinet  mathscinet  zmath
  230. V. G. Romanov, “Obratnye zadachi dlya giperbolicheskikh sistem”, Vychislitelnye metody v matematicheskoi fizike, geofizike i optimalnom upravlenii, Nauka, Novosibirsk, 1978, 75-83
  231. V. G. Romanov, “Determination of the coefficients in a linear hyperbolic system”, Diff. Equations, 14:1 (1978), 65-72  mathnet  mathscinet  zmath  zmath
  232. V. G. Romanov, “Obratnye zadachi i energeticheskie neravenstva”, Uravneniya v chastnykh proizvodnykh, Nauka, Novosibirsk, 1978, 148-153
  233. V. G. Romanov, B. K. Khuberyan, “An approximate method of moment dynamics with the use of statistical linearization”, Autom. Remote Control, 39:2 (1978), 178–183  mathnet  zmath
  234. V. G. Romanov, “Inverse problems for hyperbolic equations and energy inequalities”, Dokl. Akad. Nauk SSSR, 242:3 (1978), 541–544  mathnet  mathscinet  zmath
  235. V. G. Romanov, “On the problem of determining the right hand side of a hyperbolic system”, Diff. Equations, 13:3 (1977), 343-348  mathnet  mathscinet  zmath  zmath
  236. V. G. Romanov, “An inverse problem for an equation of parabolic type”, Math. Notes, 19:4 (1976), 360–363  mathnet  crossref  mathscinet  zmath  scopus
  237. V. G. Romanov, V. G. Yakhno, Ob odnoi linearizirovannoi postanovke zadachi opredeleniya giperbolicheskogo operatora, Preprint # 23, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976 , 13 pp.
  238. V. G. Romanov, S. P. Belinskii, K zadache opredeleniya koeffitsientov giperbolicheskoi sistemy, Preprint # 13, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976 , 9 pp.
  239. V. G. Romanov, “Ob odnoi obratnoi zadache dlya slabosvyazannykh sistem pervogo poryadka”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976, 135-148
  240. V. G. Romanov, “Unique-solution classes for Volterra operator equations of the first kind”, Funct. Anal. Appl., 9:1 (1975), 78–79  mathnet  crossref  mathscinet  zmath  scopus
  241. V. G. Romanov, “Operatornye uravneniya pervogo roda. Klassy edinstvennosti”, Nekotorye problemy vychislitelnoi i prikladnoi matematiki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1975, 123-135  zmath
  242. V. G. Romanov, “Voprosy korrektnosti obratnykh zadach dlya lifferentsialnykh uravnenii”, 5 Tagung uber Probleme und Methoden der Mathematischen Physik, Heft 3, Techn. Hochschule Karl-Marx-Stadt, Karl-Marx-Stadt, 1975, 473-478  mathscinet
  243. V. G. Romanov, “On the question of the correctness of inverse problems for certain nonlinear equations”, Funct. Anal. Appl., 8:3 (1974), 247–250  mathnet  crossref  mathscinet  zmath  scopus
  244. V. G. Romanov, “On some classes of uniqueness for the solution of integral geometry problems”, Math. Notes, 16:4 (1974), 983–989  mathnet  crossref  mathscinet  zmath  scopus
  245. V. G. Romanov, “Ob odnoznachnosti resheniya obratnoi kinematicheskoi zadachi v kruge v klasse skorostei blizkikh k postoyannym”, Matematicheskie problemy geofiziki, vyp 5, ch. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1974, 128-142
  246. V. G. Romanov, “On the uniqueness of the definition of an isotropic Riemannian metric inside a domain in terms of the distances between points of the boundary”, Soviet Math. Dokl., 15:5 (1974), 1341-1344  mathnet  mathscinet  mathscinet  zmath
  247. V. G. Romanov, “Postanovka abstraktnoi obratnoi zadachi i voprosy ee korrektnosti”, Metody resheniya nekorrektnykh zadach i ikh prilozheniya, Moskovskii gos. universitet, Moskva, 1974, 72-76
  248. V. G. Romanov, “Ob odnoi teoreme edinstvennosti dlya zadachi integralnoi geometrii na semeistve krivykh”, Matematicheskie problemy geofiziki, vyp. 4, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1974, 140-146
  249. V. G. Romanov, “An abstract inverse problem and questions of its uniqueness”, Funct. Anal. Appl., 7:3 (1973), 223–229  mathnet  crossref  mathscinet  zmath  scopus
  250. V. G. Romanov, Obratnye zadachi dlya differentsialnykh uravnenii, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1973 , 252 pp.  mathscinet
  251. A.S. Alekseev, A.V. Belonosova, V. G. Romanov et al., “Seismic studies of low-velocity layers and horizontal inhomogeneities within the crust and upper mantle on the territory of the USSR”, Tectonophysics, 20 (1973), 47-56  crossref  adsnasa  scopus
  252. V. G. Romanov, “Ob odnom klasse edinstvennosti resheniya obratnoi kinematicheskoi zadachi”, Matematicheskie problemy geofiziki, vyp. 4, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1973, 147-164
  253. V. G. Romanov, “A one-dimensional inverse problem for the wave equation”, Dokl. Akad. Nauk SSSR, 211:5 (1973), 1083–1084  mathnet  mathscinet
  254. V. G. Romanov, Integral Geometry and Inverse Problems for Hyperbolic Equations, Springer Tracts in Natural Philosophy, 26, Springer Verlag, Berlin, 1974  crossref  zmath
  255. V. G. Romanov, L. A. Zhuravleva, “Ob odnom podkhode k resheniyu obratnoi zadachi seismiki s vnutrennimi istochnikami”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 296-320
  256. V. G. Romanov, “Zadacha opredeleniya odnomernoi skorosti rasprostraneniya signala v poluprostranstve po rezhimu kolebanii odnoi iz tochek etogo poluprostranstva”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 164-186
  257. V. G. Romanov, “An uniqueness and stability theorem for a nonlinear operator equation”, Soviet Math. Dokl., 13 (1972), 1673-1675  mathnet  mathscinet  mathscinet  zmath
  258. V. G. Romanov, “Uniqueness theorems for a certain class of inverse problems”, Soviet Phys. Dokl., 17:6 (1972), 525-526  mathnet  mathscinet  mathscinet  zmath  adsnasa
  259. V. G. Romanov, L. I. Slinyucheva, “Obratnaya zadacha dlya giperbolicheskikh sistem pervogo poryadka”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 187-215
  260. V. G. Romanov, “Obratnye zadachi i integralnaya geometriya”, Trudy Vsesoyuznogo simpoziuma po obratnym zadacham dlya differentsialnykh uravnenii, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 53-61
  261. A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, “Chislennyi metod opredeleniya struktury verkhnei mantii Zemli”, Matematicheskie problemy geofiziki, vyp. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 143-165
  262. V. G. Romanov, “Teorema edinstvennosti odnoi obratnoi zadachi dlya volnovogo uravneniya”, Matematicheskie problemy geofiziki, vyp. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 100-142
  263. A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, I. L. Nersesov, “Metodika chislennogo issledovaniya gorizontalnykh neodnorodnostei mantii Zemli po seismologicheskim dannym”, Trudy X Generalnoi assamblei Evropeiskoi seismologicheskoi konferentsii (Leningrad, 3-11 sentyabrya 1968 g.), Izd-vo Akademii nauk SSSR, Moskva, 1970, 26-36
  264. M. M. Lavrent'ev, V. G. Romanov, V. G. Vasil'ev, Multidimensional Inverse Problems for Differential Equations, Lecture Notes in Mathematics, 167, Springer Verlag, Berlin, 1974  mathscinet
  265. V. G. Romanov, Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Avtoreferat dissertatsii na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969 , 28 pp.  zmath
  266. V. G. Romanov, Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969 , 196 pp.  zmath
  267. A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, “Chislennyi metod resheniya trekhmernoi obratnoi kinematicheskoi zadachi seismiki”, Matematicheskie problemy geofiziki, vyp. 1, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969, 179-201
  268. V. G. Romanov, “A problem of integral geometry and a linearized inverse problem for a hyperbolic equation”, Siberian Mathem. J., 10:6 (1969), 1011-1018  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
  269. V. G. Romanov, “Obratnye zadachi rasprostraneniya elektricheskikh kolebanii v provodakh”, Matematicheskie problemy geofiziki, vyp. 1, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969, 92-102
  270. V. G. Romanov, “A formulation of an inverse problem for a generalized wave equation”, Soviet Math. Dokl., 1968, no. 4, 891-894  mathnet  mathscinet  mathscinet  zmath
  271. V. G. Romanov, “The one-dimensional inverse problem for the telegraph equation”, Diff. Equations, 4:1 (1968), 44-51  mathnet  mathscinet  zmath
  272. V. G. Romanov, “Ob odnoi linearizirovannoi obratnoi zadache dlya telegrafnogo uravneniya”, Nekotorye metody i algoritmy interpretatsii geofizicheskikh dannykh, Nauka, Novosibirsk, 1967, 99-104
  273. V. G. Romanov, “The recovery of a function from its integrals over ellipsoids of revolution with one fixed focus”, Soviet Math. Dokl., 8:2 (1967), 480-483  mathnet  mathscinet  mathscinet  zmath
  274. V. G. Romanov, “Reconstructing a function by means of integrals along a family of curves”, Soviet Math. Dokl., 8:5 (1967), 923-925  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
  275. M. M. Lavrentiev, V. G. Romanov, “Three linearized inverse problems for hyperbolic equations”, Soviet Math. Dokl., 7:6 (1966), 1650-1652  mathnet  mathscinet  mathscinet  zmath
  276. V. G. Romanov, Chislennye metody resheniya integralnykh uravnenii teorii uprugosti, Avtoreferat dissertatsii na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, Institut matematiki BSSR, Minsk, 1965 , 6 pp.
  277. V. G. Romanov, Chislennye metody resheniya integralnykh uravnenii teorii uprugosti, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, Institut matematiki SO AN SSSR, Novosibirsk, 1964 , 123 pp.
  278. V. G. Romanov, “O vychislenii integralov tipa Fure”, Vychislitelnye sistemy, vyp. 12, Institut matematiki SO AN SSSR, Novosibirsk, 1964, 135-143
  279. V. G. Romanov, “Priblizhennoe reshenie integralnogo uravneniya osnovnykh ploskikh staticheskikh zadach teorii uprugosti”, Vychislitelnye sistemy, vyp. 12, Institut matematiki SO AN SSSR, Novosibirsk, 1964, 98-134
  280. V. G. Romanov, O. A. Solovev, “Nekotorye voprosy chastotnogo analiza magnitnykh gravitatsionnykh anomalii na elektronnykh vychislitelnykh maschinakh”, Primenenie elektronnykh tsifrovykh mashin pri reshenii zadach geofiziki, Trudy Instituta geologii i geofiziki SO AN SSSR, vyp. 21, Institut geologii i geofiziki SO AN SSSR, Novosibirsk, 1963, 122-130
  281. Yu. E. Anikonov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhaĭlovich Lavrent'ev”, Sib. Zh. Ind. Mat., 13:3 (2010), 3–5  mathnet  mathscinet
  282. M. M. Lavrent'ev, V. L. Beresnev, I. S. Borisov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, A. A. Mogul'skii, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 42:2 (2001), 243–248  mathnet  mathscinet  zmath
  283. Yu. E. Anikonov, N. N. Bogolyubov, Yu. L. Ershov, A. B. Zhizhchenko, E. F. Mishchenko, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on his sixtieth birthday)”, Russian Math. Surveys, 47:3 (1992), 197–200  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
  284. R. G. Muhometov, V. G. Romanov, Dokl. Akad. Nauk SSSR, 245:2 (1979), 280  mathnet  mathscinet

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