Plamenevskii Boris Alekseevich

Publications in Math-Net.Ru

1. Mathematical scattering theory in electromagnetic waveguides
   
   Izv. RAN. Ser. Mat., 89:1 (2025),  54–114
2. The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of filling medium
   
   Algebra i Analiz, 34:4 (2022),  107–187
3. A method for approximate computation of the scattering matrix in acoustic diffraction gratings
   
   Zap. Nauchn. Sem. POMI, 516 (2022),  238–252
4. Radiation and scattering in electromagnetic waveguides near thresholds
   
   Algebra i Analiz, 32:4 (2020),  234–270
5. A method for approximate computation of waveguide scattering matrices
   
   Uspekhi Mat. Nauk, 75:3(453) (2020),  123–182
6. On the behavior of waveguide scattering matrices near thresholds
   
   Algebra i Analiz, 30:2 (2018),  188–237
7. The Maxwell system in waveguides with several cylindrical outlets to infinity and non-homogeneous anisotropic filling
   
   Algebra i Analiz, 29:2 (2017),  89–126
8. Comparison of asymptotic and numerical approaches to the study of the resonant tunneling in a two-dimensional symmetric quantum waveguide of variable cross-section
   
   Zap. Nauchn. Sem. POMI, 461 (2017),  124–139
9. Asymptotics of solutions for stationary and nonstationary Maxwell systems in a domain with small holes
   
   Algebra i Analiz, 28:4 (2016),  102–170
10. On Computation of Waveguide Scattering Matrices for the Maxwell System
    
    Funktsional. Anal. i Prilozhen., 49:1 (2015),  93–96
11. Method for computing waveguide scattering matrices in vicinity of thresholds
    
    Algebra i Analiz, 26:1 (2014),  128–164
12. On a Method for Computing Waveguide Scattering Matrices in the Presence of Point Spectrum
    
    Funktsional. Anal. i Prilozhen., 48:1 (2014),  61–72
13. The Maxwell system in waveguides with several cylindrical ends
    
    Algebra i Analiz, 25:1 (2013),  94–155
14. Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013),  1835–1855
15. On a method for computing waveguide scattering matrices
    
    Algebra i Analiz, 23:1 (2011),  200–231
16. Effect of dipole structures on field emission of wide-gap semiconductor emitters
    
    Zhurnal Tekhnicheskoi Fiziki, 80:12 (2010),  86–89
17. Solvability of the algebra of pseudodifferential operators with piecewise smooth coefficients on a smooth manifold
    
    Algebra i Analiz, 21:2 (2009),  214–263
18. Elastodynamics in domains with edges
    
    Algebra i Analiz, 18:3 (2006),  158–233
19. Asymptotics of the solutions of the Neumann problem for hyperbolic systems in domains with conic points
    
    Algebra i Analiz, 16:3 (2004),  56–98
20. Representations of $C^*$-algebras of pseudodifferential operators on piecewise smooth manifolds
    
    Algebra i Analiz, 13:6 (2001),  124–174
21. On a class of pseudodifferential operators in $\mathbb R^m$ and on stratified manifolds
    
    Mat. Sb., 191:5 (2000),  109–142
22. On the Cauchy–Dirichlet problem for a hyperbolic system in a wedge
    
    Algebra i Analiz, 11:3 (1999),  140–195
23. Pseudodifferential Operators on Manifolds with Singularities
    
    Funktsional. Anal. i Prilozhen., 33:2 (1999),  88–91
24. Difraction on a cone: the asymptotics of the solutions near the vertex
    
    Zap. Nauchn. Sem. POMI, 259 (1999),  122–144
25. On the Dirichlet problem for the wave equation in a cylinder with edges
    
    Algebra i Analiz, 10:2 (1998),  197–228
26. On the Wave Equation in a Cylinder with Edges
    
    Funktsional. Anal. i Prilozhen., 32:1 (1998),  81–84
27. On composition series in algebras of pseudodifferential operators
    
    Dokl. Akad. Nauk, 351:3 (1996),  301–303
28. Solvable operator algebras
    
    Algebra i Analiz, 6:5 (1994),  1–87
29. Selfadjoint elliptic problems: scattering and polarization operators on the edges of the boundary
    
    Algebra i Analiz, 6:4 (1994),  157–186
30. Selfadjoint elliptic problems with radiation conditions on the edges of the boundary
    
    Algebra i Analiz, 4:3 (1992),  196–225
31. Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula
    
    Funktsional. Anal. i Prilozhen., 26:4 (1992),  45–56
32. Elliptic problems with radiation conditions on edges of the boundary
    
    Mat. Sb., 183:10 (1992),  13–44
33. Топологические характеристики алгебры сингулярных интегральных операторов на окружности с разрывными символами
    
    Algebra i Analiz, 3:5 (1991),  155–167
34. On the index of pseudodifferential operators with isolated singularities in the symbols
    
    Algebra i Analiz, 2:5 (1990),  165–188
35. Asymptotics of the spectrum of the Neumann problem in singularly degenerate thin domains. I
    
    Algebra i Analiz, 2:2 (1990),  85–111
36. Radiation conditions for selfadjoint elliptic problems
    
    Dokl. Akad. Nauk SSSR, 311:3 (1990),  532–536
37. The spectrum of an algebra of pseudodifferential operators with piecewise smooth symbols
    
    Izv. Akad. Nauk SSSR Ser. Mat., 53:1 (1989),  147–178
38. Representations of the algebra of pseudodifferential operators with piecewise smooth symbols
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 11,  66–74
39. Algebras of pseudodifferential operators with piecewise-smooth symbols
    
    Dokl. Akad. Nauk SSSR, 298:1 (1988),  40–44
40. On representations of an algebra of pseudodifferential operators with multidimensional discontinuities in the symbols
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987),  833–859
41. Estimates for the convolution operator in spaces with weighted norms
    
    Dokl. Akad. Nauk SSSR, 286:1 (1986),  35–38
42. Spectra of $X^*$-algebras of pseudodifferential operators with multidimensional discontinuities in symbols
    
    Funktsional. Anal. i Prilozhen., 20:4 (1986),  85–86
43. The spectrum of an algebra of pseudodifferential operators with discontinuous symbols on a manifold with boundary
    
    Dokl. Akad. Nauk SSSR, 277:6 (1984),  1327–1330
44. Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes
    
    Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984),  347–371
45. $C^*$-algebras of singular integral operators with discontinuous coefficients on a complex contour. II
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 4,  37–46
46. $C^*$-algebras of singular integral operators with discontinuous coefficients on a complex contour. I
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 1,  25–33
47. The Dirichlet problem in domains with thin cross connections
    
    Sibirsk. Mat. Zh., 25:2 (1984),  161–179
48. The radiation principle for periodic problems
    
    Differ. Uravn., 19:10 (1983),  1713–1723
49. On the spectrum of $C^*$-algebras generated by pseudodifferential operators with discontinuous symbols
    
    Izv. Akad. Nauk SSSR Ser. Mat., 47:6 (1983),  1263–1284
50. Bending of a near-polygonal plate with a free open boundary
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 8,  34–40
51. On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone
    
    Mat. Sb. (N.S.), 122(164):4(12) (1983),  435–457
52. Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points
    
    Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983),  333–346
53. On homogeneous solutions of the Dirichlet problem in the exterior of a slender cone
    
    Dokl. Akad. Nauk SSSR, 266:2 (1982),  281–284
54. On the index of pseudodifferential operators with isolated singularities of symbols in $R^n$
    
    Dokl. Akad. Nauk SSSR, 263:5 (1982),  1062–1065
55. Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece
    
    Funktsional. Anal. i Prilozhen., 16:2 (1982),  39–46
56. Traces of pseudodifferential operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 12,  30–38
57. Pseudodifferential operators on $R^n$ with discontinuities of the second kind in the symbols
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 3,  34–43
58. Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  156–168
59. On the spectrum of $C^*$-algebras generated by pseudodifferential operators with isolated singularities of symbols
    
    Dokl. Akad. Nauk SSSR, 261:6 (1981),  1304–1306
60. On the asymptotics of solutions of the Dirichlet problem in a three-dimensional domain with a slender cavity
    
    Dokl. Akad. Nauk SSSR, 256:1 (1981),  37–39
61. On the maximum principle for the biharmonic equation in a domain with conical points
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 2,  52–59
62. On the asymptotic behaviour of solutions of the Dirichlet problem in a domain with a thin tube excluded
    
    Uspekhi Mat. Nauk, 36:5(221) (1981),  183–184
63. Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube
    
    Mat. Sb. (N.S.), 116(158):2(10) (1981),  187–217
64. A problem on the motion of a fluid with a free surface in a container with piecewise smooth walls
    
    Dokl. Akad. Nauk SSSR, 250:6 (1980),  1315–1317
65. Boundary value problems for meromorphic pseudodifferential operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 4,  69–78
66. On the first boundary value problem for the equations of hydrodynamics in a domain with a pieswise smooth boundary
    
    Zap. Nauchn. Sem. LOMI, 96 (1980),  179–186
67. Asymptotic solutions of elliptic boundary value problems when the domain is varied close to conical points
    
    Dokl. Akad. Nauk SSSR, 249:1 (1979),  94–96
68. On algebras generated by pseudodifferential operators with isolated singularities of symbols
    
    Dokl. Akad. Nauk SSSR, 248:2 (1979),  298–302
69. State of stress and strain near the vertex of a crack in a plate in nonlinear bending
    
    Dokl. Akad. Nauk SSSR, 243:4 (1978),  889–892
70. Meromorphic pseudodifferential operator-valued functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 4,  79–90
71. $L_p$-estimates of solutions of elliptic boundary value problems in domains with ribs
    
    Tr. Mosk. Mat. Obs., 37 (1978),  49–93
72. On an algebra of pseudodifferential operators in spaces with weighted norms
    
    Mat. Sb. (N.S.), 106(148):2(6) (1978),  296–320
73. Estimates of the Green functions and Schauder estimates of the solutions of elliptic boundary value problems in a two-sided corner
    
    Sibirsk. Mat. Zh., 19:5 (1978),  1065–1082
74. A well-posed problem for singular integral equations with a symbol that goes to zero
    
    Differ. Uravn., 13:8 (1977),  1479–1486
75. On the coefficients in the asymptotics of solutions of elliptic boundary value problems near the edge
    
    Dokl. Akad. Nauk SSSR, 229:1 (1976),  33–36
76. On the coefficients in the asymptotic of solutions of the celiptic boundary problem in a cone
    
    Zap. Nauchn. Sem. LOMI, 52 (1975),  110–127
77. On the coefficients in the asymptotics of solutions of elliptic boundary- value problems near conical points
    
    Dokl. Akad. Nauk SSSR, 219:2 (1974),  286–289
78. Asymptotic behavior of the solution of the Navier-Stokes equations near fins
    
    Dokl. Akad. Nauk SSSR, 210:4 (1973),  803–806
79. On elliptic boundary value problems with discontinuous coefficients on manifolds with singularities
    
    Dokl. Akad. Nauk SSSR, 210:3 (1973),  529–532
80. On the asymptotic behavior of solutions of quasielliptic differential equations with operator coefficients
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973),  1332–1375
81. On behaviour of solutions of quasilinear elliptic boundary value problems in the neighbourhood of a conic point
    
    Zap. Nauchn. Sem. LOMI, 38 (1973),  94–97
82. On the asymptotic behavior of solutions of differential equations in Banach space
    
    Dokl. Akad. Nauk SSSR, 202:1 (1972),  34–37
83. On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space
    
    Izv. Akad. Nauk SSSR Ser. Mat., 36:6 (1972),  1348–1401
84. On the asymptotic behavior of solutions of differential equations in Hilbert space
    
    Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972),  1080–1133
85. A certain class of manifolds with singularities
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 11,  46–52
86. The asymptotic behavior of the solutions of general boundary value problems for quasielliptic equations in a cylinder
    
    Uspekhi Mat. Nauk, 27:6(168) (1972),  247–248
87. On the asymptotic behavior of solutions of differential equations with operator coefficients
    
    Dokl. Akad. Nauk SSSR, 196:3 (1971),  512–515
88. Problems with oblique derivatives in regions with piecewise smooth boundaries
    
    Funktsional. Anal. i Prilozhen., 5:3 (1971),  102–103
89. The smoothness of convolution operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 4,  47–58
90. Singular integral equations in a cone
    
    Dokl. Akad. Nauk SSSR, 179:5 (1968),  1057–1059
91. The first boundary value problem for convolution operators in cones
    
    Mat. Sb. (N.S.), 77(119):2 (1968),  222–250
92. Boundedness of singular integrals in spaces with a weight
    
    Mat. Sb. (N.S.), 76(118):4 (1968),  573–592
93. Singular integral operators on a group
    
    Dokl. Akad. Nauk SSSR, 164:1 (1965),  47–50
94. On singular equations with a vanishing symbol
    
    Dokl. Akad. Nauk SSSR, 160:6 (1965),  1250–1253
95. Singular integral equations on an infinite cylinder
    
    Dokl. Akad. Nauk SSSR, 158:4 (1964),  780–783


96. Vladimir Savel'evich Buslaev (obituary)
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  163–168
97. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
98. B. Blackadar. $K$-Theory for Operator Algebras. Mathematical Sciences Research Institute Publications, 5. New York: Springer, 1986. 338 p.
    
    Algebra i Analiz, 2:1 (1990),  244–248
99. Corrections to the paper “On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space”
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:4 (1973),  959
100. Corrections to the paper “On the asymptotic behavior of solutions of differential equations in Hilbert space”
     
     Izv. Akad. Nauk SSSR Ser. Mat., 37:3 (1973),  709–710
101. Corrections to the paper “The first boundary value problem for convolution operators in cones”, Mat. Sb. (N.S.), 77(119) (1968), 222–250
     
     Mat. Sb. (N.S.), 80(122):4(12) (1969),  616