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Boimatov Kamoliddin Khamroevich

Publications in Math-Net.Ru

  1. Strongly continuous semigroups of operators generated by systems of pseudodifferential operators in weighted $L_p$-spaces

    Fundam. Prikl. Mat., 14:8 (2008),  3–54
  2. On the Abel basis property of the system of root vector-functions of degenerate elliptic differential operators with singular matrix coefficients

    Sibirsk. Mat. Zh., 47:1 (2006),  46–57
  3. Some spectral properties of ordinary differential operators generated by noncoercive forms

    Dokl. Akad. Nauk, 352:4 (1997),  439–442
  4. Boundary value problems for systems of ordinary differential equations associated with noncoercive forms

    Dokl. Akad. Nauk, 352:3 (1997),  295–297
  5. On the Spectrum of a Self-Adjoint Polynomial Pencil

    Funktsional. Anal. i Prilozhen., 31:3 (1997),  71–74
  6. On the solvability and smoothness of a solution of the variational Dirichlet problem associated with a noncoercive bilinear form

    Trudy Mat. Inst. Steklova, 214 (1997),  107–134
  7. Spectral asymptotics of nonselfadjoint elliptic differential operators in the whole space

    Dokl. Akad. Nauk, 351:6 (1996),  727–730
  8. Averaging of the multidimensional distribution function for elliptic almost periodic operators

    Dokl. Akad. Nauk, 351:4 (1996),  439–443
  9. On the asymptotics of the spectrum of degenerate elliptic differential operators that are far from selfadjoint

    Dokl. Akad. Nauk, 345:3 (1995),  295–299
  10. Some asymptotic formulas for elliptic operators in $R^n$ that are far from selfadjoint

    Dokl. Akad. Nauk, 344:6 (1995),  730–735
  11. Coercive solvability of the generalized nonlinear Cauchy–Riemann system

    Dokl. Akad. Nauk, 340:1 (1995),  7–11
  12. Some Spectral Properties of Matrix Differential Operators Far from Being Self-Adjoint

    Funktsional. Anal. i Prilozhen., 29:3 (1995),  55–58
  13. Descriptions of functions from S. L. Sobolev weighted classes with zero traces on $C^0$-manifolds

    Dokl. Akad. Nauk, 339:6 (1994),  727–731
  14. Matrix differential operators generated by noncoercive bilinear forms

    Dokl. Akad. Nauk, 339:1 (1994),  5–10
  15. On a system of differential equations of nonclassical type

    Dokl. Akad. Nauk, 338:4 (1994),  437–439
  16. The spectral asymptotics of nonselfadjoint degenerate elliptic systems of differential operators

    Dokl. Akad. Nauk, 330:5 (1993),  533–538
  17. Coercivity properties of strongly degenerate elliptic equations

    Dokl. Akad. Nauk, 330:4 (1993),  409–414
  18. The generalized Dirichlet problem associated with a noncoercive bilinear form

    Dokl. Akad. Nauk, 330:3 (1993),  285–290
  19. Multidimensional Distribution Functions for Elliptic Operators

    Funktsional. Anal. i Prilozhen., 27:4 (1993),  63–65
  20. On the equivalence of zero boundary conditions to an integral condition in the Dirichlet problem

    Uspekhi Mat. Nauk, 48:3(291) (1993),  185–186
  21. Asymptotic behavior of the Green function of parabolic equations and of the kernels of complex powers of the resolvent of elliptic operators

    Trudy Mat. Inst. Steklov., 204 (1993),  52–67
  22. The generalized Dirichlet problem for systems of second-order differential equations

    Dokl. Akad. Nauk, 327:1 (1992),  9–15
  23. Coercive properties of nonlinear Schrödinger and Dirac operators

    Dokl. Akad. Nauk, 326:3 (1992),  393–398
  24. Spectral asymptotics of linear and nonlinear pencils of pseudodifferential operators that are elliptic in the Douglis–Nirenberg sense

    Dokl. Akad. Nauk, 322:3 (1992),  441–445
  25. Spectral asymptotics of $m$-sectorial operators

    Dokl. Akad. Nauk, 322:1 (1992),  11–15
  26. Asymptotics of spectral projectors of pseudodifferential operators

    Funktsional. Anal. i Prilozhen., 26:1 (1992),  54–56
  27. Asymptotic behavior of the spectra of second-order non-self-adjoint systems of differential operators

    Mat. Zametki, 51:4 (1992),  8–16
  28. Quasiclassical asymptotics of eigenvalues op elliptic systems of differential operators on compact manifolds

    Mat. Zametki, 51:2 (1992),  146–148
  29. The asymptotics of the spectrum of non-self-adjoint degenerate systems of elliptic differential operators

    Uspekhi Mat. Nauk, 47:5(287) (1992),  167–168
  30. On a system of equations of composite type in a multidimensional region

    Uspekhi Mat. Nauk, 47:4(286) (1992),  185–186
  31. Asymptotic behavior of Schwartz kernels of spectral projectors of pseudodifferential operators with operator-valued symbols

    Trudy Mat. Inst. Steklov., 201 (1992),  79–114
  32. A Tauberian method for studying spectral asymptotics of strongly degenerate elliptic systems

    Trudy Mat. Inst. Steklov., 194 (1992),  33–57
  33. Multiparametric spectral asymptotics for elliptic systems of differential operators in arbitrary domains of finite measure

    Dokl. Akad. Nauk SSSR, 321:6 (1991),  1138–1142
  34. Multiparametric spectral asymptotics for elliptic pseudodifferential operators on compact manifolds

    Dokl. Akad. Nauk SSSR, 319:5 (1991),  1048–1052
  35. Asymptotic distribution of the eigenvalues of nonlinear pencils of pseudodifferential operators

    Dokl. Akad. Nauk SSSR, 319:4 (1991),  781–786
  36. Spectral asymptotics of nonselfadjoint pseudodifferential operators in bounded domains

    Dokl. Akad. Nauk SSSR, 317:3 (1991),  530–534
  37. Multidimensional distribution functions for degenerate elliptic operators

    Dokl. Akad. Nauk SSSR, 317:2 (1991),  271–275
  38. Multidimensional spectral asymptotics for elliptic operators in domains that satisfy the cone condition

    Dokl. Akad. Nauk SSSR, 316:1 (1991),  14–18
  39. Trace formula for polynomial operator pencils and its applications

    Funktsional. Anal. i Prilozhen., 25:4 (1991),  90–92
  40. Spectral asymptotics of polynomial pencils of differential operators in bounded domains

    Funktsional. Anal. i Prilozhen., 25:1 (1991),  7–20
  41. Estimation of the negative spectrum of a lower semibounded self-adjoint operator

    Mat. Zametki, 50:6 (1991),  142–145
  42. Spectral projections of hypoelliptic operators

    Mat. Zametki, 49:5 (1991),  16–25
  43. The spectral asymptotics of pseudodifferential systems elliptic in the sense of Douglis and Nirenberg

    Uspekhi Mat. Nauk, 46:5(281) (1991),  159–160
  44. Multidimensional spectral asymptotics for elliptic differential operators

    Uspekhi Mat. Nauk, 46:3(279) (1991),  181–182
  45. On the asymptotics of the eigenvalues of nonselfadjoint elliptic systems in arbitrary domains of finite measure

    Dokl. Akad. Nauk SSSR, 315:6 (1990),  1289–1293
  46. Asymptotic behavior of the Green function of parabolic equations and complex power kernels of the elliptic operator resolvent

    Dokl. Akad. Nauk SSSR, 314:5 (1990),  1036–1040
  47. Spectral asymptotics of polynomial pencils of differential operators

    Dokl. Akad. Nauk SSSR, 313:5 (1990),  1036–1040
  48. Multidimensional systems of differential equations of composite type with nonsmooth coefficients

    Dokl. Akad. Nauk SSSR, 313:3 (1990),  525–528
  49. Spectral asymptotics of pseudodifferential operators

    Dokl. Akad. Nauk SSSR, 311:1 (1990),  14–18
  50. Spectral asymptotics of polynomial pencils of differential operators on a compact manifold without boundary

    Funktsional. Anal. i Prilozhen., 24:2 (1990),  76–78
  51. Spectral asymptotics of non-self-adjoint elliptic systems of differential operators in bounded domains

    Funktsional. Anal. i Prilozhen., 24:1 (1990),  64–66
  52. Distribution of eigenvalues of polynomial pencils of pseudodifferential operators on a compact manifold without boundary

    Mat. Zametki, 48:6 (1990),  140–142
  53. Spectral asymptotics of polynomial pencils of differential operators

    Mat. Zametki, 47:3 (1990),  129–130
  54. Spectral asymptotics of non-self-adjoint elliptic operators in $\mathbb R^n$

    Uspekhi Mat. Nauk, 45:5(275) (1990),  177–178
  55. Spectral asymptotics of a class of non-self-adjoint degenerate elliptic differential operators

    Uspekhi Mat. Nauk, 45:2(272) (1990),  201–202
  56. Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains

    Mat. Sb., 181:12 (1990),  1678–1693
  57. Distribution of eigenvalues of second-order nonselfadjoint differential operators

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 3,  24–31
  58. Eigenvalues of elliptic differential operators in limit-cylindrical domains

    Dokl. Akad. Nauk SSSR, 308:1 (1989),  11–14
  59. On the denseness of the compactly supported functions in weighted spaces

    Dokl. Akad. Nauk SSSR, 307:6 (1989),  1296–1299
  60. Estimates for the growth of solutions of differential equations

    Differ. Uravn., 25:4 (1989),  578–588
  61. Eigenvalues of the equation $Au=\lambda Bu$ on a compact manifold without boundary

    Funktsional. Anal. i Prilozhen., 23:1 (1989),  63–64
  62. Coercive estimates and separability for second-order nonlinear differential operators

    Mat. Zametki, 46:6 (1989),  110–112
  63. Coercive estimates and separability for differential operators of arbitrary order

    Uspekhi Mat. Nauk, 44:3(267) (1989),  147–148
  64. The spectral asymptotic behaviour of differential operators in unbounded domains of finite measure

    Uspekhi Mat. Nauk, 44:2(266) (1989),  227–228
  65. Coercive estimates and separability for second-order elliptic differential equations

    Dokl. Akad. Nauk SSSR, 301:5 (1988),  1033–1036
  66. Strongly degenerate elliptic differential operators of the Triebel class

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 8,  39–47
  67. On a singular integral operator

    Uspekhi Mat. Nauk, 43:3(261) (1988),  171–172
  68. Uniqueness of solution of the Cauchy problem for second-order parabolic equations with increasing coefficients

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 4,  25–32
  69. The effect of lowest coefficients of an elliptic differential operator on the spectral function

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 2,  15–23
  70. Spectral asymptotics of Gasymov–Kostyuchenko problems with “nonsmooth” coefficients

    Funktsional. Anal. i Prilozhen., 19:4 (1985),  76–77
  71. A spectral asymptotics of an elliptic operator in a bounded domain

    Funktsional. Anal. i Prilozhen., 19:2 (1985),  67–69
  72. Two-sided estimates of the eigenvalues of the Dirichlet problem for a class of degenerate elliptic differential operators

    Trudy Mat. Inst. Steklov., 172 (1985),  16–28
  73. Distribution of the eigenvalues of the equation $Au=\lambda Bu$ in the whole space

    Dokl. Akad. Nauk SSSR, 277:6 (1984),  1292–1295
  74. Separability theorems, weighted spaces and their applications

    Trudy Mat. Inst. Steklov., 170 (1984),  37–76
  75. Distribution of eigenvalues of degenerate elliptic operators

    Dokl. Akad. Nauk SSSR, 248:3 (1979),  521–524
  76. Separation theorems, weighted spaces and their applications to boundary value problems

    Dokl. Akad. Nauk SSSR, 247:3 (1979),  532–536
  77. Pseudodifferential operators with an operator symbol

    Dokl. Akad. Nauk SSSR, 244:1 (1979),  20–23
  78. Asymptotics of the spectrum of an elliptic differential operator in the degenerate case

    Dokl. Akad. Nauk SSSR, 243:6 (1978),  1369–1372
  79. Spectral asymptotics of differential equations with operator coefficients in a nonsmooth domain

    Dokl. Akad. Nauk SSSR, 242:4 (1978),  749–752
  80. The asymptotic behavior of Riesz means of the spectral function of an elliptic operator

    Dokl. Akad. Nauk SSSR, 241:3 (1978),  517–520
  81. Asymptotic behavior of eigenvalues of non-self-adjoint operators

    Funktsional. Anal. i Prilozhen., 11:4 (1977),  74–75
  82. Selfadjointness of elliptic second order differential operators

    Differ. Uravn., 12:11 (1976),  2089–2091
  83. The domain of definition of a Sturm–Liouville operator

    Differ. Uravn., 12:7 (1976),  1151–1160
  84. Asymptotic behavior of the spectrum of the Schrödinger operator with singular potential

    Uspekhi Mat. Nauk, 31:1(187) (1976),  241–242
  85. $L_2$-estimates of generalized solutions of elliptic differential equations

    Dokl. Akad. Nauk SSSR, 223:3 (1975),  521–524
  86. The distribution of eigenvalues of elliptic operators

    Dokl. Akad. Nauk SSSR, 221:2 (1975),  265–268
  87. The asymptotic behavior of the spectrum of the Schrödinger operator

    Differ. Uravn., 10:11 (1974),  1939–1945
  88. Sturm–Liouville operators with matrix potentials

    Mat. Zametki, 16:6 (1974),  921–932
  89. Theorems on the separation property

    Dokl. Akad. Nauk SSSR, 213:5 (1973),  1009–1011
  90. Asymptote of the eigenvalues of a completely continuous operator

    Mat. Zametki, 14:4 (1973),  487–492
  91. Separation properties for Sturm–Liouville operators

    Mat. Zametki, 14:3 (1973),  349–359
  92. Asymptotic behavior of the spectrum of an operator differential equation

    Uspekhi Mat. Nauk, 28:4(172) (1973),  207–208

  93. Поправки к статье “Распределение собственных значений эллиптических операторов” (ДАН, т. 221, № 2, 1975 г.)

    Dokl. Akad. Nauk SSSR, 224:6 (1975),  744

© Steklov Math. Inst. of RAS, 2026