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Ivrii Victor Yakovlevich

Publications in Math-Net.Ru

  1. Pointwise Spectral Asymptotics out of the Diagonal near Degeneration Points

    Mat. Zametki, 112:4 (2022),  534–552
  2. Asymptotics of the ground state energy in the relativistic settings

    Algebra i Analiz, 30:3 (2018),  76–92
  3. Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics

    Mosc. Math. J., 7:3 (2007),  461–479
  4. Asymptotic behavior of eigenvalues for the two-dimensional Dirac operator with a strong magnetic field

    Dokl. Akad. Nauk SSSR, 311:5 (1990),  1102–1105
  5. Exact spectral asymptotics for the Dirac operator with a strong magnetic field

    Dokl. Akad. Nauk SSSR, 310:4 (1990),  788–792
  6. Sharp spectral asymptotics for the two-dimensional Schrödinger operator with a strong magnetic field

    Dokl. Akad. Nauk SSSR, 306:1 (1989),  31–34
  7. Linear hyperbolic equations

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 33 (1988),  157–247
  8. Estimates for the spectrum of the Dirac operator

    Dokl. Akad. Nauk SSSR, 297:6 (1987),  1298–1302
  9. Estimates for the number of negative eigenvalues of the Schrödinger operator with a strong magnetic field

    Dokl. Akad. Nauk SSSR, 297:5 (1987),  1043–1046
  10. Exact spectral asymptotics for elliptic operators on manifolds with a boundary

    Sibirsk. Mat. Zh., 28:1 (1987),  107–114
  11. Weyl's asymptotic formula for the Laplace–Beltrami operator in Riemannian polyhedra and in domains with conic singularities of the boundary

    Dokl. Akad. Nauk SSSR, 288:1 (1986),  35–38
  12. Propagation of singularities of solutions of dissipative boundary value problems for symmetric hyperbolic systems

    Dokl. Akad. Nauk SSSR, 287:6 (1986),  1299–1301
  13. Dilatation and the asymptotics of the eigenvalues of spectral problems with singularities

    Funktsional. Anal. i Prilozhen., 20:4 (1986),  29–34
  14. Asymptotics of the discrete spectrum for certain operators in $\mathbb{R}^d$

    Funktsional. Anal. i Prilozhen., 19:1 (1985),  73–74
  15. On strict and non-strict inequalities in conditions for the Cauchy problem to be well-posed

    Uspekhi Mat. Nauk, 40:2(242) (1985),  179–180
  16. Exact classical and quasiclassical asymptotic behavior of eigenvalues for spectral problems on manifolds with boundary

    Dokl. Akad. Nauk SSSR, 277:6 (1984),  1307–1310
  17. On the asymptotics of the discrete spectrum of the Schrödinger operator for a system of $n$ particles

    Dokl. Akad. Nauk SSSR, 277:4 (1984),  785–788
  18. On precise asymptotics of the eigenvalues for two classes of differential operators in $\mathbf{R}^d$

    Dokl. Akad. Nauk SSSR, 276:2 (1984),  268–270
  19. Asymptotics of a spectral problem connected with the Laplace–Beltrami operator on a manifold with boundary

    Funktsional. Anal. i Prilozhen., 17:1 (1983),  71–72
  20. On quasiclassical spectral asymptotics for the Schrödinger operator on manifolds with boundary and for $h$-pseudodifferential operators acting in bundles

    Dokl. Akad. Nauk SSSR, 266:1 (1982),  14–18
  21. On the asymptotics of the eigenvalues for a class of elliptic operators acting in bundles over a manifold with boundary

    Dokl. Akad. Nauk SSSR, 263:3 (1982),  530–531
  22. On the asymptotics of the spectral shift function

    Dokl. Akad. Nauk SSSR, 263:2 (1982),  283–284
  23. Accurate spectral asymptotics for elliptic operators that act in vector bundles

    Funktsional. Anal. i Prilozhen., 16:2 (1982),  30–38
  24. On the well-posedness of the Cauchy problem for certain hyperbolic operators with characteristics of high variable multiplicity

    Uspekhi Mat. Nauk, 37:3(225) (1982),  187–188
  25. Asymptotics of the eigenvalues for some elliptic operators acting in bundles over a manifold with a boundary

    Dokl. Akad. Nauk SSSR, 258:5 (1981),  1045–1046
  26. Exact spectral asymptotics for the Laplace–Beltrami operator in the case of general elliptic boundary conditions

    Funktsional. Anal. i Prilozhen., 15:1 (1981),  74–75
  27. Propagation of singularities of solutions of nonclassical boundary value problems for second-order hyperbolic equations

    Tr. Mosk. Mat. Obs., 43 (1981),  81–91
  28. On the second term of the spectral asymptotics for the Laplace–Beltrami operator on manifolds with boundary and for elliptic operators acting in fiberings

    Dokl. Akad. Nauk SSSR, 250:6 (1980),  1300–1302
  29. Second term of the spectral asymptotic expansion of the Laplace–Beltrami operator on manifolds with boundary

    Funktsional. Anal. i Prilozhen., 14:2 (1980),  25–34
  30. Wave fronts of solutions of boundary value problems for a class of symmetric hyperbolic systems

    Sibirsk. Mat. Zh., 21:4 (1980),  62–71
  31. Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems. III. Systems with characteristics of variable multiplicity

    Sibirsk. Mat. Zh., 21:1 (1980),  74–81
  32. Propagation of singularities of solutions of nonclassical boundary-value problems for the wave equation

    Funktsional. Anal. i Prilozhen., 13:3 (1979),  85–86
  33. Wave fronts of solutions of certain hyperbolic pseudodifferential equations

    Tr. Mosk. Mat. Obs., 39 (1979),  83–112
  34. Wave fronts of solutions of certain pseudodifferential equations

    Tr. Mosk. Mat. Obs., 39 (1979),  49–82
  35. Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems. II. Systems with characteristics of constant multiplicity

    Sibirsk. Mat. Zh., 20:5 (1979),  1022–1038
  36. Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems. I. The fundamental theorem

    Sibirsk. Mat. Zh., 20:4 (1979),  741–751
  37. Wave fronts of solutions of symmetric pseudodifferential systems

    Sibirsk. Mat. Zh., 20:3 (1979),  557–578
  38. The nonclassical propagation of singularities of a solution of the wave equation near a boundary

    Dokl. Akad. Nauk SSSR, 241:5 (1978),  1013–1015
  39. Propagation of singularities of a solution of the wave equation in a domain having angular points

    Dokl. Akad. Nauk SSSR, 241:3 (1978),  536–539
  40. The propagation of singularities of a solution of the wave equation near a boundary

    Dokl. Akad. Nauk SSSR, 239:4 (1978),  772–774
  41. Correctness in Gevrey classes of the Cauchy problem for certain nonstrictly hyperbolic operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 2,  26–35
  42. Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems

    Dokl. Akad. Nauk SSSR, 235:5 (1977),  1013–1016
  43. Wave fronts of solutions of symmetric pseudodifferential systems

    Dokl. Akad. Nauk SSSR, 233:6 (1977),  1035–1038
  44. The wave fronts of the solutions of the system that describes crystal optics

    Dokl. Akad. Nauk SSSR, 232:4 (1977),  763–765
  45. Correctness of the Cauchy problem for nonstrictly hyperbolic operators. III. The energy integral

    Tr. Mosk. Mat. Obs., 34 (1977),  151–170
  46. Propagation of the singularities of solutions of the wave equation along the boundary of the domain

    Uspekhi Mat. Nauk, 32:5(197) (1977),  185–186
  47. Wave fronts of solutions of some hyperbolic pseudodifferential equations

    Dokl. Akad. Nauk SSSR, 229:2 (1976),  280–283
  48. Wave fronts of solutions of some hyperbolic equations and conical refraction

    Dokl. Akad. Nauk SSSR, 226:6 (1976),  1257–1259
  49. Wave fronts of solutions of some microlocally hyperbolic pseudodifferential equations

    Dokl. Akad. Nauk SSSR, 226:5 (1976),  1009–1011
  50. Algebraic curves and commuting matricial differential operators

    Funktsional. Anal. i Prilozhen., 10:2 (1976),  71–72
  51. Conditions for correctness in Gevrey classes of the Cauchy problem for hyperbolic operators with characteristics of variable multiplicity

    Sibirsk. Mat. Zh., 17:6 (1976),  1256–1270
  52. Conditions for correctness in Gevrey classes of the Cauchy problem for not strictly hyperbolic operators

    Sibirsk. Mat. Zh., 17:3 (1976),  547–563
  53. Well-posedness in projective Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators

    Dokl. Akad. Nauk SSSR, 222:1 (1975),  26–28
  54. Conditions that the Cauchy problem for hyperbolic operators with characteristics of variable multiplicity be well posed in Gevrey classes

    Dokl. Akad. Nauk SSSR, 221:6 (1975),  1253–1255
  55. Conditions for the correctness in Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators

    Dokl. Akad. Nauk SSSR, 221:4 (1975),  775–777
  56. Sufficient conditions for regular and completely regular hyperbolicity

    Tr. Mosk. Mat. Obs., 33 (1975),  3–65
  57. The energy integral for nonstrictly hyperbolic operators

    Uspekhi Mat. Nauk, 30:6(186) (1975),  169–170
  58. Correctness in Gevrey classes of the Cauchy problem for not strictly hyperbolic operators

    Uspekhi Mat. Nauk, 30:5(185) (1975),  209–210
  59. Correctness of the Cauchy problem in Gevrey classes for nonstrictly hyperbolic operators

    Mat. Sb. (N.S.), 96(138):3 (1975),  390–413
  60. Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed

    Uspekhi Mat. Nauk, 29:5(179) (1974),  3–70
  61. A certain class of nonstrictly hyperbolic operators

    Differ. Uravn., 9:2 (1973),  299–306
  62. Cauchy problem for nonstrictly hyperbolic equations

    Dokl. Akad. Nauk SSSR, 207:5 (1972),  1032–1034
  63. The Cauchy problem for nonstrictly hyperbolic equations with smooth roots

    Dokl. Akad. Nauk SSSR, 204:6 (1972),  1303–1304
  64. The Cauchy problem for nonstrictly hyperbolic equations of second order

    Dokl. Akad. Nauk SSSR, 201:4 (1971),  778–781
  65. Differential equations, with multiple characteristics, that have no solutions

    Dokl. Akad. Nauk SSSR, 198:2 (1971),  279–282
  66. The Cauchy problem for nonstrictly hyperbolic equations

    Dokl. Akad. Nauk SSSR, 197:3 (1971),  517–519
  67. Exponential decay of the solution of the wave equation outside an almost star-shaped region

    Dokl. Akad. Nauk SSSR, 189:5 (1969),  938–940

  68. Mikhail Aleksandrovich Shubin (obituary)

    Uspekhi Mat. Nauk, 75:6(456) (2020),  162–170
  69. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics

    Uspekhi Mat. Nauk, 39:5(239) (1984),  253–260
  70. Поправки к статье “Об асимптотике функции спектрального сдвига” (ДАН, т. 263, № 2, 1982 г.)

    Dokl. Akad. Nauk SSSR, 265:5 (1982),  1032

© Steklov Math. Inst. of RAS, 2024