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Dubinskii Yulii Andreevich

Publications in Math-Net.Ru

  1. Kernels of Trace Functionals and Field-Theory Boundary Value Problems on the Plane

    Trudy Mat. Inst. Steklova, 312 (2021),  158–169
  2. On the solvability of some nonlinear elliptic problems

    Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  404–416
  3. Some boundary value problems in three-dimensional domains

    Trudy Mat. Inst. Steklova, 293 (2016),  157–166
  4. On boundary-value problems for second-order elliptic and parabolic systems

    CMFD, 58 (2015),  43–58
  5. Bilateral scales of Hardy inequalities and their applications to some problems of mathematical physics

    CMFD, 46 (2012),  49–91
  6. A Hardy-type inequality and its applications

    Trudy Mat. Inst. Steklova, 269 (2010),  112–132
  7. Decompositions of the Sobolev–Clifford Modules and Nonlinear Variational Problems

    Trudy Mat. Inst. Steklova, 260 (2008),  57–74
  8. Decompositions of the Sobolev Scale and Gradient–Divergence Scale into the Sum of Solenoidal and Potential Subspaces

    Trudy Mat. Inst. Steklova, 255 (2006),  136–145
  9. Non-linear analytic and coanalytic problems ($L_p$-theory, Clifford analysis, examples)

    Mat. Sb., 191:1 (2000),  65–102
  10. The problem of continuation with least coanalytic deviation

    Mat. Zametki, 64:1 (1998),  45–57
  11. On the best extension of a periodic function and on the corresponding boundary value problem

    Differ. Uravn., 33:10 (1997),  1382–1393
  12. Analytic “boundary-value” problems on the plane

    Uspekhi Mat. Nauk, 52:3(315) (1997),  53–104
  13. On the conformal equivalence of multipoint problems

    Dokl. Akad. Nauk, 349:2 (1996),  156–158
  14. On analytic multipoint problems in the plane

    Differ. Uravn., 32:5 (1996),  585–590
  15. On some orthogonal decompositions and nonlinear analytic problems

    Differ. Uravn., 31:2 (1995),  262–276
  16. Analytic continuation of solutions of ordinary differential equations

    Differ. Uravn., 30:4 (1994),  725–727
  17. Uniform well-posedness of a family of nonlinear boundary value problems of infinite order

    Differ. Uravn., 30:4 (1994),  610–620
  18. On well-posedness of the Cauchy problem in the complex domain

    Trudy Mat. Inst. Steklov., 203 (1994),  88–99
  19. On a nonlinear analytic problem

    Dokl. Akad. Nauk, 332:5 (1993),  556–559
  20. On a periodic problem for nonlinear “elliptic” equations with complex arguments

    Dokl. Akad. Nauk, 330:2 (1993),  148–150
  21. On an analytic nonlinear periodic problem

    Differ. Uravn., 29:3 (1993),  371–380
  22. Sobolev spaces of infinite order

    Uspekhi Mat. Nauk, 46:6(282) (1991),  97–131
  23. Higher-order nonlinear parabolic equations

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 37 (1990),  89–166
  24. The Cauchy problem and pseudodifferential operators in the complex domain

    Uspekhi Mat. Nauk, 45:2(272) (1990),  115–142
  25. The necessity of Kovalevskaya conditions, and their generalizations

    Dokl. Akad. Nauk SSSR, 304:2 (1989),  268–271
  26. Well-posedness of the Cauchy problem in classes of entire functions of finite order

    Dokl. Akad. Nauk SSSR, 301:6 (1988),  1305–1308
  27. On the theory of the Cauchy problem in the complex domain

    Trudy Mat. Inst. Steklov., 180 (1987),  108–110
  28. The Cauchy problem for pseudodifferential equations with variable analytic symbols

    Dokl. Akad. Nauk SSSR, 289:1 (1986),  24–27
  29. Algebra of pseudodifferential operators with complex arguments, and its applications

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 29 (1986),  109–150
  30. The Fourier transformation of analytic functions. The complex Fourier method

    Dokl. Akad. Nauk SSSR, 275:3 (1984),  533–536
  31. Pseudodifferential operators with complex variables and their applications

    Dokl. Akad. Nauk SSSR, 268:5 (1983),  1046–1050
  32. The Cauchy problem for partial differential equations with complex variables

    Dokl. Akad. Nauk SSSR, 264:5 (1982),  1045–1048
  33. An algebra of differential operators of infinite order and pseudodifferential equations with an analytic symbol

    Dokl. Akad. Nauk SSSR, 264:4 (1982),  807–812
  34. The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics

    Uspekhi Mat. Nauk, 37:5(227) (1982),  97–137
  35. On the theory of the Cauchy problem for partial differential equations

    Dokl. Akad. Nauk SSSR, 259:4 (1981),  781–785
  36. On a method of solving partial differential equations

    Dokl. Akad. Nauk SSSR, 258:4 (1981),  780–784
  37. Limits of monotone sequences of Banach spaces. Applications

    Dokl. Akad. Nauk SSSR, 251:3 (1980),  537–540
  38. Limits of Banach spaces. Imbedding theorems. Applications to Sobolev spaces of infinite order

    Mat. Sb. (N.S.), 110(152):3(11) (1979),  428–439
  39. Some imbedding theorems for Sobolev spaces of infinite order

    Dokl. Akad. Nauk SSSR, 242:6 (1978),  1241–1244
  40. Traces of functions of Sobolev spaces of infinite order and the inhomogeneous Cauchy–Dirichlet problem

    Differ. Uravn., 14:6 (1978),  1002–1012
  41. Traces of functions from Sobolev spaces of infinite order and inhomogeneous problems for nonlinear equations

    Mat. Sb. (N.S.), 106(148):1(5) (1978),  66–84
  42. On traces of functions in Sobolev spaces of infinite order, and inhomogeneous boundary value problems

    Dokl. Akad. Nauk SSSR, 235:6 (1977),  1249–1252
  43. Nonlinear elliptic and parabolic equations

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 9 (1976),  5–130
  44. Nontriviality of Sobolev spaces of infinite order for a full Euclidean space and a torus

    Mat. Sb. (N.S.), 100(142):3(7) (1976),  436–446
  45. Sobolev spaces of infinite order on the torus and some questions in the theory of periodic solutions of differential equations

    Dokl. Akad. Nauk SSSR, 222:2 (1975),  269–272
  46. On nonlinear elliptic equations of infinite order and the nontriviality of the corresponding Sobolev spaces

    Dokl. Akad. Nauk SSSR, 222:1 (1975),  22–25
  47. The nontriviality of certain classes of functions, and the solvability of nonlinear ordinary differential equations of infinite order. II

    Differ. Uravn., 11:7 (1975),  1190–1200
  48. Sobolev spaces of infinite order and the behavior of solutions of some boundary value problems with unbounded increase of the order of the equation

    Mat. Sb. (N.S.), 98(140):2(10) (1975),  163–184
  49. The nontriviality of certain classes of functions, and the solvability of nonlinear ordinary differential equations of infinite order

    Differ. Uravn., 10:2 (1974),  231–240
  50. On some differential-operator equations of arbitrary order

    Mat. Sb. (N.S.), 90(132):1 (1973),  3–22
  51. On some noncoercive nonlinear equations

    Mat. Sb. (N.S.), 87(129):3 (1972),  315–323
  52. On some differential-operator equations of a general kind

    Dokl. Akad. Nauk SSSR, 201:5 (1971),  1033–1036
  53. On a nonlinear problem of Zaremba type for a hyperbolic equation

    Dokl. Akad. Nauk SSSR, 200:3 (1971),  519–522
  54. Boundary value problems for some classes of high-order differential operator equations

    Dokl. Akad. Nauk SSSR, 196:1 (1971),  32–34
  55. A certain boundary value problem with nonlinear boundary conditions that have a discontinuity

    Differ. Uravn., 7:1 (1971),  175–177
  56. A certain class of differential operator equations of higher order

    Dokl. Akad. Nauk SSSR, 187:5 (1969),  982–985
  57. Boundary value problems for elliptic-parabolic equations

    Dokl. Akad. Nauk SSSR, 184:3 (1969),  522–525
  58. Mixed problems for certain classes of partial differential equations

    Tr. Mosk. Mat. Obs., 20 (1969),  205–240
  59. On an abstract theorem and its applications to boundary value problems for nonclassical equations

    Mat. Sb. (N.S.), 79(121):1(5) (1969),  91–117
  60. The global solvability of nonlinear ordinary differential equations

    Dokl. Akad. Nauk SSSR, 181:6 (1968),  1311–1313
  61. The Cauchy problem for operator-differential equations

    Dokl. Akad. Nauk SSSR, 181:5 (1968),  1046–1049
  62. Quasilinear elliptic and parabolic equations of arbitrary order

    Uspekhi Mat. Nauk, 23:1(139) (1968),  45–90
  63. Quasilinear elliptic-parabolic equations

    Mat. Sb. (N.S.), 77(119):3 (1968),  354–389
  64. Periodic solutions of elliptico-parabolic equations

    Mat. Sb. (N.S.), 76(118):4 (1968),  620–633
  65. An operator scheme and the solvability of some quasilinear equations in mechanics

    Dokl. Akad. Nauk SSSR, 176:3 (1967),  506–508
  66. Solubility of the system of equations describing a strong bend of plates

    Dokl. Akad. Nauk SSSR, 175:5 (1967),  1026–1029
  67. On a certain class of operators and the solvability of quasilinear elliptic equations

    Mat. Sb. (N.S.), 72(114):2 (1967),  226–236
  68. Nonlinear parabolic equations on the plane

    Mat. Sb. (N.S.), 69(111):3 (1966),  470–496
  69. Nonlinear parabolic equations which have nondivergent form

    Dokl. Akad. Nauk SSSR, 163:4 (1965),  805–808
  70. Weak convergence for nonlinear elliptic and parabolic equations

    Mat. Sb. (N.S.), 67(109):4 (1965),  609–642
  71. The first boundary-value problem for degenerate quasi-linear elliptic systems of differential equations

    Dokl. Akad. Nauk SSSR, 156:5 (1964),  1018–1021
  72. Some integral inequalities and the solvability of degenerate quasi-linear elliptic systems of differential equations

    Mat. Sb. (N.S.), 64(106):3 (1964),  458–480
  73. Some imbedding theorems in Orlicz classes

    Dokl. Akad. Nauk SSSR, 152:3 (1963),  529–532

  74. In memory of Professor Stanislav Ivanovich Pokhozhaev, Corresponding Member of RAS

    Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  379–380
  75. Marko Iosifovich Vishik (obituary)

    Uspekhi Mat. Nauk, 68:2(410) (2013),  197–200
  76. Anatolii Sergeevich Kalashnikov (obituary)

    Uspekhi Mat. Nauk, 55:5(335) (2000),  161–168
  77. Mark Iosifovich Vishik (on his 75th birthday)

    Uspekhi Mat. Nauk, 52:4(316) (1997),  225–232
  78. Sergei Aleksandrovich Lomov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 39:2(236) (1984),  215–216
  79. Mark Iosifovich Vishik (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 37:4(226) (1982),  213–220

© Steklov Math. Inst. of RAS, 2025