Edit Profile (opens in new tab) Plamenevskiĭ, Boris Alekseevich Co-Author Distance Author ID: plamenevskii.boris-a Published as: Plamenevskij, B. A.; Plamenevskii, B. A.; Plamenevskiĭ, B. A.; Plamenevskii, Boris; Plamenevskii, B.; Plamenevskii, Boris A.; Plamenevskij, Boris; Plamenewski, B. A.; Plamenevskiĭ, Boris A.; Plamenevskiǐ, Boris A.; Plamenevsky, Boris A.; Plamenevsky, Boris; Plamenevskiĭ, B. more...less Homepage: http://math.nw.ru/wp/?p=708&lang=en External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 203 Publications since 1964, including 11 Books and 3 Additional arXiv Preprints Co-Authors: 42 Co-Authors with 168 Joint Publications 1,563 Co-Co-Authors all top 5 Co-Authors 35 single-authored 80 Maz’ya, Vladimir Gilelevich 38 Nazarov, Sergeĭ Aleksandrovich 24 Senichkin, V. N. 19 Sarafanov, Oleg V. 16 Neittaanmäki, Pekka J. 9 Poretskiĭ, Aleksandr S. 5 Kokotov, A. Yu. 5 Rozenblum, Grigori V. 4 Baskin, Lev 4 Grikurov, Valery E. 4 Kalvin, Victor 4 Yudovin, M. Eh. 3 Heikkola, Erkki 3 Morozov, Nikita Fedorovich 2 Babich, Vasiliĭ Mikhaĭlovich 2 Baskin, L. M. 2 Faddeev, Lyudvig Dmitrievich 2 Kabardov, M. M. 2 Khajkin, Yu. E. 2 Marchenko, Vladimir Aleksandrovich 2 Pastur, Leonid Andreevich 2 Sharkova, N. M. 2 Stupyalis, Lyudvikas I. 2 Suslina, Tat’yana Aleksandrovna 2 Ural’tseva, Nina Nikolaevna 1 Buslaev, Vladimir Savel’evich 1 Gindikin, Simon Grigorevich 1 Khavin, Viktor Petrovich 1 Its, Alexander Rudolfovich 1 Kabardov, Muaed 1 Kislyakov, Sergeĭ Vital’evich 1 Koplienko, L. S. 1 Korikov, Dmitrii V. 1 Laptev, Ari 1 Lauter, Robert 1 Lyalinov, Mikhail Anatolievich 1 Matyukevich, S. I. 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Solomyak, Mikhaĭl Zakharovich 1 Tashchiyan, G. M. 1 Vershik, Anatoliĭ Moiseevich 1 Yafaev, Dimitri R. all top 5 Serials 18 St. Petersburg Mathematical Journal 17 Soviet Mathematics. Doklady 8 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 8 Functional Analysis and its Applications 8 Soviet Mathematics 8 Translations. Series 2. American Mathematical Society 7 Mathematics of the USSR. Izvestiya 6 Journal of Soviet Mathematics 6 Mathematics of the USSR, Sbornik 6 Journal of Mathematical Sciences (New York) 6 Problemy Matematicheskogo Analiza 5 Matematicheskiĭ Sbornik. Novaya Seriya 5 Algebra i Analiz 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 5 Doklady Mathematics 4 Russian Mathematical Surveys 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 3 Mathematische Nachrichten 3 Selecta Mathematica Sovietica 3 Soviet Physics. Doklady 3 Problemy Matematicheskoĭ Fiziki 3 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Differential Equations 2 Siberian Mathematical Journal 2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 2 Zeitschrift für Analysis und ihre Anwendungen 2 Leningrad Mathematical Journal 2 Vestnik Leningrad University. Mathematics 2 Doklady Akademii Nauk 2 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 2 Lecture Notes on Numerical Methods in Engineering and Sciences 2 Operator Theory: Advances and Applications 1 Applicable Analysis 1 Dinamika Sploshnoĭ Sredy 1 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 1 Mathematical Methods in the Applied Sciences 1 Differentsial’nye Uravneniya 1 Numerische Mathematik 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 SIAM Journal on Applied Mathematics 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Matematicheskiĭ Sbornik 1 Vestnik St. Petersburg University. Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Sbornik: Mathematics 1 De Gruyter Expositions in Mathematics 1 Differentsial’nye Uravneniya i ikh Primenenie 1 Mathematics and Its Applications. Soviet Series 1 Pseudo-Differential Operators. Theory and Applications all top 5 Fields 160 Partial differential equations (35-XX) 50 Operator theory (47-XX) 41 Functional analysis (46-XX) 19 Global analysis, analysis on manifolds (58-XX) 15 Mechanics of deformable solids (74-XX) 14 Optics, electromagnetic theory (78-XX) 9 Ordinary differential equations (34-XX) 7 Quantum theory (81-XX) 5 Potential theory (31-XX) 5 Fluid mechanics (76-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 1 \(K\)-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 1,254 times in 828 Documents Cited by ▼ Year ▼ Elliptic problems in domains with piecewise smooth boundaries. Zbl 0806.35001 Nazarov, Sergey A.; Plamenevsky, Boris A. 351 1994 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301 Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 118 2000 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in domains with conical points. Zbl 0359.35024 Maz’ya, V. G.; Plamenevskij, B. A. 106 1977 Abschätzungen im \(L_p\) und in Hölderschen Klassen und das Miranda- Agmonsche Maximumprinzip für die Lösungen elliptischer Randwertprobleme in Gebieten mit singulären Punkten auf dem Rande. Zbl 0371.35018 Maz’ya, V. G.; Plamenevskij, B. A. 66 1978 Estimates in \(L_ p\) and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary. Zbl 0554.35035 Maz’ya, V. G.; Plamenevskij, B. A. 57 1984 Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes. Zbl 0566.35031 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 42 1985 On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Zbl 0554.35036 Maz’ya, V. G.; Plamenevskij, B. A. 26 1984 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff. Zbl 1127.35300 Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 22 2000 The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I. Zbl 0532.35065 Maz’ya, V. G.; Plamenevskij, B. A. 15 1983 Algebras of pseudodifferential operators (Algebry psevdodifferentsial’nykh operatorov). Zbl 0615.47038 Plamenevskij, B. A. 15 1986 Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. (Асимптотика решений ѐллиптических краевых задач при сингулярных возмущениях области.) Zbl 0462.35001 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A. 15 1981 The three-dimensional problem of steady-state motion of a fluid with a free surface. Zbl 0553.76028 Maz’ya, V. G.; Plamenevskiĭ, B. A.; Stupelis, L. I. 14 1984 The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II. Zbl 0554.35099 Maz’ya, V. G.; Plamenevskij, B. A. 14 1983 On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. Zbl 1073.35153 Kokotov, A.; Plamenevskiĭ, B. 14 2005 Algebras of pseudodifferential operators with piecewise smooth symbols. Zbl 0677.35090 Plamenevskii, Boris 13 1989 On the asymptotics of the solutions of elliptic boundary value problems in an irregularly perturbed domain. Zbl 0491.35013 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 12 1981 Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone. Zbl 0396.35038 Maz’ya, V. G.; Plamenevskij, B. A. 12 1978 Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160 Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A. 11 1999 On radiation conditions for selfadjoint elliptic problems. Zbl 0725.35072 Nazarov, S. A.; Plamenevskij, B. A. 11 1990 \(L_ p-\)estimates of solutions of elliptic boundary value problems in domains with edges. Zbl 0453.35025 Mazya, V. G.; Plamenevskij, B. A. 11 1980 Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points. Zbl 0554.35037 Maz’ya, V. G.; Plamenevskij, B. A. 8 1984 On the asymptotic behavior of solutions of differential equations in Hilbert space. Zbl 0266.34067 Maz’ya, V. G.; Plamenevskij, B. A. 8 1973 On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points. Zbl 0597.73027 Maz’ya, V. G.; Plamenevskij, B. A. 8 1984 Asymptotics of the spectrum of the Neumann problem in singularly perturbed thin domains. I. Zbl 0751.35027 Nazarov, S. A.; Plamenevskij, B. A. 8 1990 Elliptic boundary value problems on manifolds with singularities. Zbl 0453.58022 Maz’ya, V. G.; Plamenevskij, B. A. 8 1977 Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034 Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V. 8 2013 On computation of scattering matrices and on surface waves for diffraction gratings. Zbl 1022.78009 Grikurov, Valery E.; Heikkola, Erkki; Neittaanmäki, Pekka; Plamenevskii, Boris A. 8 2003 On singularities of solutions of the Dirichlet problem in the exterior of a thin cone. Zbl 0543.35026 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 7 1983 On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone. Zbl 0599.35056 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 7 1985 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0821.35042 Nazarov, S. A.; Plamenevskij, B. A. 7 1994 Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003 Baskin, Lev; Neittaanmäki, Pekka; Plamenevskii, Boris; Sarafanov, Oleg 7 2015 Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece. Zbl 0512.35021 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 6 1982 On the asymptotics of the solution of the Dirichlet problem near the isolated singularity of a boundary. Zbl 0371.35012 Maz’ya, V. G.; Plamenevskij, B. A. 6 1977 On spectral properties of elliptic problems in domains with cylindrical ends. Zbl 1361.35117 Plamenevskii, B. A. 6 2007 Elastodynamics in domains with edges. Zbl 1284.35427 Matyukevich, S. I.; Plamenevskiĭ, B. A. 5 2007 Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube. Zbl 0502.35017 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1983 Dirichlet problem in domains with thin bridges. Zbl 0553.35018 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1984 On the Dirichlet problem for the wave equation in a cylinder with edges. Zbl 0910.35018 Plamenevskij, B. A. 5 1998 The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling. Zbl 1387.35567 Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 5 2018 Asymptotics of the solutions of the Dirichlet problem in a domain with a cut out thin tube. Zbl 0473.35019 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1981 Problems with oblique derivatives in regions with piecewise smooth boundaries. Zbl 0232.35047 Maz’ya, V. G.; Plamenevskij, B. A. 5 1972 On the coefficients in the asymptotics of solutions of elliptic boundary- value problems near conical points. Zbl 0318.35005 Maz’ya, V. G.; Plamenevskij, B. A. 5 1974 Elliptic problems with radiation conditions on the edges of the boundary. Zbl 0779.35036 Nazarov, S. A.; Plamenevskij, B. A. 5 1992 Selfadjoint elliptic problems with radiation conditions on the edges of the boundary. Zbl 0806.35027 Nazarov, S. A.; Plamenevskij, B. A. 5 1992 On the asymptotics of the fundamental solutions of elliptic boundary value problems in domains with conic points. Zbl 0417.35014 Maz’ya, V. G.; Plamenevskij, B. A. 5 1979 Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities. Zbl 1364.35356 Korikov, D. V.; Plamenevskiĭ, B. A. 5 2017 Method for computing waveguide scattering matrices in the vicinity of thresholds. Zbl 1317.47012 Plamenevskiǐ, Boris A.; Poretskiǐ, A. S.; Sarafanov, Oleg V. 5 2015 Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. Zbl 1202.35061 Baskin, Lev; Neittaanmäki, Pekka; Plamenevsky, Boris; Sarafanov, Oleg 5 2009 The absence of a theorem of De Giorgi type for strongly elliptic equations with complex coefficients. Zbl 0498.35033 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 4 1982 Schauder estimates of solutions of elliptic boundary value problems in domains with edges on the boundary. Zbl 0554.35038 Maz’ya, V. G.; Plamenevskij, B. A. 4 1984 On a method for computing waveguide scattering matrices. Zbl 1234.35167 Plamenevskij, B. A.; Sarafanov, O. V. 4 2012 On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. Zbl 0954.35104 Kokotov, A. Yu.; Plamenevskij, B. A. 4 1999 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0839.35035 Nazarov, S. A.; Plamenevskij, B. A. 4 1994 On the coefficients in the asymptotics of solutions of elliptic boundary value problems near the edge. Zbl 0355.35032 Maz’ya, V. G.; Plamenevskij, B. A. 4 1976 Algebras of pseudodifferential operators. Transl. from the Russian by R. A. M. Horsbergen. Zbl 0679.47027 Plamenevskij, B. A. 4 1989 Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary. Zbl 0778.35033 Nazarov, S. A.; Plamenevskij, B. A. 4 1993 Elliptic boundary value problems in domains with piecewise smooth boundary. Zbl 0880.35003 Plamenevskij, B. A. 4 1997 \(L_p\)-Abschätzungen der Lösungen elliptischer Randwertprobleme in Gebieten mit Kanten. Zbl 0441.35028 Maz’ya, V. G.; Plamenevskij, B. A. 4 1978 On computation of waveguide scattering matrices for the Maxwell system. Zbl 1327.35361 Plamenevskii, B. A.; Poretskii, A. S.; Sarafanov, O. V. 4 2015 Behavior of waveguide scattering matrices in a neighborhood of thresholds. Zbl 1408.35114 Plamenevskii, B. A.; Poretskii, A. S. 4 2019 On nonlinear bending of a plate with a crack. Zbl 0552.73043 Maz’ya, V. G.; Morozov, N. F.; Plamenevskij, B. A. 3 1984 Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients. Zbl 0562.35030 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 3 1985 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in a cone. Zbl 0351.35010 Maz’ya, V. G.; Plamenevskij, B. A. 3 1975 On the maximum principle for the biharmonic equation in a domain with conic points. Zbl 0462.31004 Maz’ya, V. G.; Plamenevskij, B. A. 3 1981 Elliptic problems with radiation conditions on edges of the boundary. Zbl 0789.35048 Nazarov, S. A.; Plamenevskij, B. A. 3 1992 On a method for computing waveguide scattering matrices in the presence of point spectrum. Zbl 1462.35156 Plamenevskii, B. A.; Sarafanov, O. V. 3 2014 Solvability of algebras of pseudodifferential operators with piecewise smooth coefficients on smooth manifolds. Zbl 1218.47137 Plamenevskiĭ, B. A. 3 2010 Elliptic boundary-value problems in domains of the exterior-of-a-cusp type. Zbl 0643.35035 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 2 1984 Spectrum of the algebra of pseudodifferential operators with piecewise smooth symbols. Zbl 0676.46044 Plamenevskij, B. A.; Senichkin, V. N. 2 1989 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025 Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 2 2010 Evaluation of the asymptotic form of the ”intensity coefficients” on approaching corner or conical points. Zbl 0551.35008 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 2 1983 A generalized Green’s formula for elliptic problems in domains with edges. Zbl 0847.35024 Nazarov, S. A.; Plamenevskij, B. A. 2 1992 On a class of pseudodifferential operators in \(\mathbb{R}^m\) and on stratified manifolds. Zbl 0961.35188 Plamenevskij, B. A.; Senichkin, V. N. 2 2000 Über die Beschränktheit singulärer Integrale in Räumen mit Gewicht. Zbl 0169.45501 Plamenevskij, B. A. 2 1968 On the asymptotic behavior of solutions of differential equations with operator coefficients. Zbl 0225.35082 Maz’ya, V. G.; Plamenevskij, B. A. 2 1971 Über die Existenz und Asymptotik der Lösungen von Differentialgleichungen mit nicht-beschränkten Operatorkoeffizienten im Banachraum. Zbl 0265.34076 Plamenevskii, B. A. 2 1972 The maximum principle for biharmonic equations in a region with conical points. Zbl 0475.31005 Maz’ya, V. G.; Plamenevskij, B. A. 2 1981 Method for computing scattering matrices for general dissipative and selfadjoint elliptic problems in domains with cylindrical ends. Zbl 1099.35031 Kalvine, V. O.; Neittaanmäki, Pekka; Plamenevskii, B. A. 2 2004 Über eine Algebra von Pseudodifferentialoperatoren in Räumen mit bewichteten Normen. Zbl 0385.35055 Plamenevskii, B. A. 2 1978 On an algebra of pseudodifferential operators in spaces with weighted norms. Zbl 0414.35079 Plamenevskij, B. A. 2 1978 Estimates of Green’s functions and Schauder estimates for solutions of elliptic boundary problems in a dihedral angle. Zbl 0417.35017 Maz’ya, V. G.; Plamenevskij, B. A. 2 1979 Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points. Zbl 0429.35031 Maz’ya, V. G.; Plamenevskij, B. A. 2 1978 On boundary value problems for a second order elliptic equation in a domain with edges. Zbl 0436.35030 Mazya, V. G.; Plamenevskij, B. A. 2 1980 Asymptotic theory of resonant tunneling in 3D waveguides of variable cross-section in a magnetic field. Zbl 1304.35665 Baskin, L.; Plamenevskii, B.; Sarafanov, O. 2 2014 The Neumann problem for the wave equation in a cone. Zbl 0996.35013 Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A. 2 2000 The Maxwell system in waveguides with several cylindrical ends. Zbl 1294.35158 Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 2 2014 On the asymptotics of the solution of the Dirichlet problem near an isolated singularity of the boundary. Zbl 0494.35038 Maz’ya, V. G.; Plamenevskij, B. A. 1 1982 First boundary value problem for the equations of hydrodynamics in a domain with a piecewise-smooth boundary. Zbl 0506.76032 Maz’ya, V. G.; Plamenevskij, B. A. 1 1983 About algebras generated by pseudodifferential operators with isolated singularities of the symbols. Zbl 0513.35081 Plamenevskij, B. A. 1 1982 On the spectrum of \(C^*\)-algebras generated by pseudo-differential operators with discontinuous symbols. Zbl 0551.47023 Plamenevskij, B. A.; Senichkin, V. N. 1 1983 Solvable operator algebras. Zbl 0839.46051 Plamenevskij, B. A.; Senichkin, V. N. 1 1994 On properties of solutions of three-dimensional problems of elasticity and hydrodynamics in domains with isolated singular points. Zbl 0561.73020 Maz’ya, V. G.; Plamenevskij, B. A. 1 1981 On surface waves in diffraction gratings. Zbl 0964.78006 Grikurov, V. E.; Lyalinov, M. A.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2000 On the asymptotics of solutions of the Dirichlet problem in a three- dimensional domain with a slender cavity. Zbl 0469.35020 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1981 On a method of searching for surface waves in diffraction gratings. Zbl 1170.78359 Grikurov, V. E.; Neittaanmäki, P.; Plamenevskij, B. A.; Heikkola, E. 1 2002 The first boundary value problem for convolution operators in cones. Zbl 0185.35903 Plamenevskij, B. A.; Yudovin, M. E. 1 1970 On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space. Zbl 0277.34059 Plamenevskii, B. A. 1 1974 Über elliptische Randwertaufgaben in einem Bereich mit stückweise glattem Rand. Zbl 0283.35037 Maz’ya, V. G.; Plamenevskij, B. A. 1 1973 On elliptic boundary value problems with discontinuous coefficients on manifolds with singularities. Zbl 0306.58018 Maz’ya, V. G.; Plamenevskij, B. A. 1 1973 A method of searching for surface waves in diffraction gratings. Zbl 1148.35312 Grikurov, V. E.; Heikkola, E.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2002 Radiation and scattering in electromagnetic waveguides near thresholds. Zbl 1477.35253 Plamenevskii, B. A.; Poretskii, A. S. 1 2021 Behavior of waveguide scattering matrices in a neighborhood of thresholds. Zbl 1408.35114 Plamenevskii, B. A.; Poretskii, A. S. 4 2019 Comparison of asymptotic and numerical approaches to the study of the resonant tunneling in two-dimensional symmetric quantum waveguides of variable cross-sections. Zbl 1419.81017 Kabardov, M. M.; Plamenevskii, B. A.; Sarafanov, O. V.; Sharkova, N. M. 1 2019 The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling. Zbl 1387.35567 Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 5 2018 Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities. Zbl 1364.35356 Korikov, D. V.; Plamenevskiĭ, B. A. 5 2017 Computation of waveguide scattering matrix near thresholds. Zbl 1368.78084 Kabardov, M. M.; Plamenevskii, B. A.; Sharkova, N. M. 1 2017 Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003 Baskin, Lev; Neittaanmäki, Pekka; Plamenevskii, Boris; Sarafanov, Oleg 7 2015 Method for computing waveguide scattering matrices in the vicinity of thresholds. Zbl 1317.47012 Plamenevskiǐ, Boris A.; Poretskiǐ, A. S.; Sarafanov, Oleg V. 5 2015 On computation of waveguide scattering matrices for the Maxwell system. Zbl 1327.35361 Plamenevskii, B. A.; Poretskii, A. S.; Sarafanov, O. V. 4 2015 On a method for computing waveguide scattering matrices in the presence of point spectrum. Zbl 1462.35156 Plamenevskii, B. A.; Sarafanov, O. V. 3 2014 Asymptotic theory of resonant tunneling in 3D waveguides of variable cross-section in a magnetic field. Zbl 1304.35665 Baskin, L.; Plamenevskii, B.; Sarafanov, O. 2 2014 The Maxwell system in waveguides with several cylindrical ends. Zbl 1294.35158 Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 2 2014 Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034 Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V. 8 2013 On a method for computing waveguide scattering matrices. Zbl 1234.35167 Plamenevskij, B. A.; Sarafanov, O. V. 4 2012 Solvability of algebras of pseudodifferential operators with piecewise smooth coefficients on smooth manifolds. Zbl 1218.47137 Plamenevskiĭ, B. A. 3 2010 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025 Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 2 2010 Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. Zbl 1202.35061 Baskin, Lev; Neittaanmäki, Pekka; Plamenevsky, Boris; Sarafanov, Oleg 5 2009 On spectral properties of elliptic problems in domains with cylindrical ends. Zbl 1361.35117 Plamenevskii, B. A. 6 2007 Elastodynamics in domains with edges. Zbl 1284.35427 Matyukevich, S. I.; Plamenevskiĭ, B. A. 5 2007 On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. Zbl 1073.35153 Kokotov, A.; Plamenevskiĭ, B. 14 2005 Method for computing scattering matrices for general dissipative and selfadjoint elliptic problems in domains with cylindrical ends. Zbl 1099.35031 Kalvine, V. O.; Neittaanmäki, Pekka; Plamenevskii, B. A. 2 2004 On computation of scattering matrices and on surface waves for diffraction gratings. Zbl 1022.78009 Grikurov, Valery E.; Heikkola, Erkki; Neittaanmäki, Pekka; Plamenevskii, Boris A. 8 2003 On a method of searching for surface waves in diffraction gratings. Zbl 1170.78359 Grikurov, V. E.; Neittaanmäki, P.; Plamenevskij, B. A.; Heikkola, E. 1 2002 A method of searching for surface waves in diffraction gratings. Zbl 1148.35312 Grikurov, V. E.; Heikkola, E.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2002 Representations of \(C^*\)-algebras of pseudodifferential operators on piecewise smooth manifolds. Zbl 1029.47052 Plamenevskij, B. A.; Senichkin, V. N. 1 2002 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301 Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 118 2000 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff. Zbl 1127.35300 Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 22 2000 On a class of pseudodifferential operators in \(\mathbb{R}^m\) and on stratified manifolds. Zbl 0961.35188 Plamenevskij, B. A.; Senichkin, V. N. 2 2000 The Neumann problem for the wave equation in a cone. Zbl 0996.35013 Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A. 2 2000 On surface waves in diffraction gratings. Zbl 0964.78006 Grikurov, V. E.; Lyalinov, M. A.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2000 Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160 Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A. 11 1999 On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. Zbl 0954.35104 Kokotov, A. Yu.; Plamenevskij, B. A. 4 1999 On the Dirichlet problem for the wave equation in a cylinder with edges. Zbl 0910.35018 Plamenevskij, B. A. 5 1998 Dirichlet problem for the wave operator in a cylinder with edges. Zbl 0907.35017 Plamenevskij, B. A. 1 1998 Elliptic boundary value problems in domains with piecewise smooth boundary. Zbl 0880.35003 Plamenevskij, B. A. 4 1997 On composition series in algebras of pseudodifferential operators and in algebras of Wiener-Hopf operators. Zbl 0902.46033 Plamenevskij, B. A.; Senichkin, V. N. 1 1996 Elliptic problems in domains with piecewise smooth boundaries. Zbl 0806.35001 Nazarov, Sergey A.; Plamenevsky, Boris A. 351 1994 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0821.35042 Nazarov, S. A.; Plamenevskij, B. A. 7 1994 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0839.35035 Nazarov, S. A.; Plamenevskij, B. A. 4 1994 Solvable operator algebras. Zbl 0839.46051 Plamenevskij, B. A.; Senichkin, V. N. 1 1994 Solvable algebras of operators. Zbl 0831.46061 Plamenevskij, B. A.; Senichkin, V. N. 1 1994 Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary. Zbl 0778.35033 Nazarov, S. A.; Plamenevskij, B. A. 4 1993 Representations of \(C^*\)-algebras generated by pseudodifferential operators in weighted spaces. Zbl 0807.35170 Plamenevskij, B. A.; Senichkin, V. N. 1 1993 Elliptic problems with radiation conditions on the edges of the boundary. Zbl 0779.35036 Nazarov, S. A.; Plamenevskij, B. A. 5 1992 Selfadjoint elliptic problems with radiation conditions on the edges of the boundary. Zbl 0806.35027 Nazarov, S. A.; Plamenevskij, B. A. 5 1992 Elliptic problems with radiation conditions on edges of the boundary. Zbl 0789.35048 Nazarov, S. A.; Plamenevskij, B. A. 3 1992 A generalized Green’s formula for elliptic problems in domains with edges. Zbl 0847.35024 Nazarov, S. A.; Plamenevskij, B. A. 2 1992 On the topological properties of algebras of singular integral operators on a contour with discontinuous symbols. Zbl 0773.46035 Plamenevskij, B. A.; Rozenblyum, G. V. 1 1991 On radiation conditions for selfadjoint elliptic problems. Zbl 0725.35072 Nazarov, S. A.; Plamenevskij, B. A. 11 1990 Asymptotics of the spectrum of the Neumann problem in singularly perturbed thin domains. I. Zbl 0751.35027 Nazarov, S. A.; Plamenevskij, B. A. 8 1990 On the index of pseudodifferential operators with isolated singularities in the symbols. Zbl 0746.35061 Plamenevskij, B. A.; Rozenblyum, G. V. 1 1990 Algebras of pseudodifferential operators with piecewise smooth symbols. Zbl 0677.35090 Plamenevskii, Boris 13 1989 Algebras of pseudodifferential operators. Transl. from the Russian by R. A. M. Horsbergen. Zbl 0679.47027 Plamenevskij, B. A. 4 1989 Spectrum of the algebra of pseudodifferential operators with piecewise smooth symbols. Zbl 0676.46044 Plamenevskij, B. A.; Senichkin, V. N. 2 1989 Algebras of pseudodifferential operators (Algebry psevdodifferentsial’nykh operatorov). Zbl 0615.47038 Plamenevskij, B. A. 15 1986 Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes. Zbl 0566.35031 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 42 1985 On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone. Zbl 0599.35056 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 7 1985 Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients. Zbl 0562.35030 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 3 1985 On the spectrum of \(C^*\)-algebras of pseudo-differential operators with singularities in the symbols. Zbl 0573.47035 Plamenevskij, B. A.; Senichkin, V. N. 1 1985 On the asymptotics of the fundamental solutions of elliptic boundary- value problems in regions with conical points. Zbl 0582.35007 Maz’ya, V. G.; Plamenevskij, B. A. 1 1985 Estimates in \(L_ p\) and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary. Zbl 0554.35035 Maz’ya, V. G.; Plamenevskij, B. A. 57 1984 On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Zbl 0554.35036 Maz’ya, V. G.; Plamenevskij, B. A. 26 1984 The three-dimensional problem of steady-state motion of a fluid with a free surface. Zbl 0553.76028 Maz’ya, V. G.; Plamenevskiĭ, B. A.; Stupelis, L. I. 14 1984 Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points. Zbl 0554.35037 Maz’ya, V. G.; Plamenevskij, B. A. 8 1984 On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points. Zbl 0597.73027 Maz’ya, V. G.; Plamenevskij, B. A. 8 1984 Dirichlet problem in domains with thin bridges. Zbl 0553.35018 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1984 Schauder estimates of solutions of elliptic boundary value problems in domains with edges on the boundary. Zbl 0554.35038 Maz’ya, V. G.; Plamenevskij, B. A. 4 1984 On nonlinear bending of a plate with a crack. Zbl 0552.73043 Maz’ya, V. G.; Morozov, N. F.; Plamenevskij, B. A. 3 1984 Elliptic boundary-value problems in domains of the exterior-of-a-cusp type. Zbl 0643.35035 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 2 1984 The spectrum of an algebra of pseudodifferential operators with discontinuous symbols on a manifold with boundary. Zbl 0591.58029 Plamenevskij, B. A.; Senichkin, V. N. 1 1984 The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I. Zbl 0532.35065 Maz’ya, V. G.; Plamenevskij, B. A. 15 1983 The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II. Zbl 0554.35099 Maz’ya, V. G.; Plamenevskij, B. A. 14 1983 On singularities of solutions of the Dirichlet problem in the exterior of a thin cone. Zbl 0543.35026 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 7 1983 Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube. Zbl 0502.35017 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1983 Evaluation of the asymptotic form of the ”intensity coefficients” on approaching corner or conical points. Zbl 0551.35008 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 2 1983 First boundary value problem for the equations of hydrodynamics in a domain with a piecewise-smooth boundary. Zbl 0506.76032 Maz’ya, V. G.; Plamenevskij, B. A. 1 1983 On the spectrum of \(C^*\)-algebras generated by pseudo-differential operators with discontinuous symbols. Zbl 0551.47023 Plamenevskij, B. A.; Senichkin, V. N. 1 1983 On the bending of a nearly polygonal plate with freely supported boundary. Zbl 0581.73067 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1983 Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece. Zbl 0512.35021 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 6 1982 The absence of a theorem of De Giorgi type for strongly elliptic equations with complex coefficients. Zbl 0498.35033 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 4 1982 On the asymptotics of the solution of the Dirichlet problem near an isolated singularity of the boundary. Zbl 0494.35038 Maz’ya, V. G.; Plamenevskij, B. A. 1 1982 About algebras generated by pseudodifferential operators with isolated singularities of the symbols. Zbl 0513.35081 Plamenevskij, B. A. 1 1982 Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. (Асимптотика решений ѐллиптических краевых задач при сингулярных возмущениях области.) Zbl 0462.35001 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A. 15 1981 On the asymptotics of the solutions of elliptic boundary value problems in an irregularly perturbed domain. Zbl 0491.35013 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 12 1981 Asymptotics of the solutions of the Dirichlet problem in a domain with a cut out thin tube. Zbl 0473.35019 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1981 On the maximum principle for the biharmonic equation in a domain with conic points. Zbl 0462.31004 Maz’ya, V. G.; Plamenevskij, B. A. 3 1981 The maximum principle for biharmonic equations in a region with conical points. Zbl 0475.31005 Maz’ya, V. G.; Plamenevskij, B. A. 2 1981 On properties of solutions of three-dimensional problems of elasticity and hydrodynamics in domains with isolated singular points. Zbl 0561.73020 Maz’ya, V. G.; Plamenevskij, B. A. 1 1981 On the asymptotics of solutions of the Dirichlet problem in a three- dimensional domain with a slender cavity. Zbl 0469.35020 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1981 \(L_ p-\)estimates of solutions of elliptic boundary value problems in domains with edges. Zbl 0453.35025 Mazya, V. G.; Plamenevskij, B. A. 11 1980 On boundary value problems for a second order elliptic equation in a domain with edges. Zbl 0436.35030 Mazya, V. G.; Plamenevskij, B. A. 2 1980 On the asymptotics of the fundamental solutions of elliptic boundary value problems in domains with conic points. Zbl 0417.35014 Maz’ya, V. G.; Plamenevskij, B. A. 5 1979 Estimates of Green’s functions and Schauder estimates for solutions of elliptic boundary problems in a dihedral angle. Zbl 0417.35017 Maz’ya, V. G.; Plamenevskij, B. A. 2 1979 Asymptotic solutions of elliptic boundary value problems when the domain is varied close to conical points. Zbl 0442.35004 Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1979 Abschätzungen im \(L_p\) und in Hölderschen Klassen und das Miranda- Agmonsche Maximumprinzip für die Lösungen elliptischer Randwertprobleme in Gebieten mit singulären Punkten auf dem Rande. Zbl 0371.35018 Maz’ya, V. G.; Plamenevskij, B. A. 66 1978 Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone. Zbl 0396.35038 Maz’ya, V. G.; Plamenevskij, B. A. 12 1978 \(L_p\)-Abschätzungen der Lösungen elliptischer Randwertprobleme in Gebieten mit Kanten. Zbl 0441.35028 Maz’ya, V. G.; Plamenevskij, B. A. 4 1978 Über eine Algebra von Pseudodifferentialoperatoren in Räumen mit bewichteten Normen. Zbl 0385.35055 Plamenevskii, B. A. 2 1978 On an algebra of pseudodifferential operators in spaces with weighted norms. Zbl 0414.35079 Plamenevskij, B. A. 2 1978 Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points. Zbl 0429.35031 Maz’ya, V. G.; Plamenevskij, B. A. 2 1978 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 683 Authors 209 Nazarov, Sergeĭ Aleksandrovich 25 Plamenevskiĭ, Boris Alekseevich 22 Maz’ya, Vladimir Gilelevich 21 Nicaise, Serge 20 Kozlov, Vladimir A. 20 Taskinen, Jari 18 Brenner, Susanne Cecelia 17 Borisov, Denis Ivanovich 15 Rossmann, Jürgen 14 Chesnel, Lucas 14 Dauge, Monique 14 Sung, Li-Yeng 12 Musolino, Paolo 12 Pileckas, Konstantin 12 Sarafanov, Oleg V. 11 Schulze, Bert-Wolfgang 9 Argatov, Ivan I. 9 Cardone, Giuseppe 9 Costabel, Martin 9 Gómez, Delfina 9 Vasilyev, Vladimir Borisovich 8 Claeys, Xavier 8 Nguyen Manh Hung 8 Poretskiĭ, Aleksandr S. 8 Sändig, Anna-Margarete 8 Sokołowski, Jan 8 Solonnikov, Vsevolod Alekseevich 8 Tarkhanov, Nikolai N. 7 Apel, Thomas 7 Chechkin, Gregory Aleksandrovich 7 Cui, Jintao 7 Dalla Riva, Matteo 7 Khludnev, Aleksandr Mikhaĭlovich 7 Mel’nyk, Taras A. 7 Movchan, Alexander B. 7 Nistor, Victor 7 Stephan, Ernst Peter 6 Kweon, Jae Ryong 6 Lubuma, Jean Mbaro-Saman 6 Ruotsalainen, Keijo Matti 5 Babuška, Ivo 5 Bacuta, Constantin 5 Ciarlet, Patrick jun. 5 Gimperlein, Heiko 5 Grebenkov, Denis S. 5 Hu, Guanghui 5 Korikov, Dmitrii V. 5 Lamberti, Pier Domenico 5 Li, Hengguang 5 Mayboroda, Svitlana 5 Pérez-martínez, María-eugenia 5 Skubachevskiĭ, Aleksandr Leonidovich 5 Slutskij, Andrey S. 4 Amrouche, Chérif 4 Bakharev, Fedor L’vovich 4 Chiadò Piat, Valeria 4 Guo, Benqi 4 Nkemzi, Boniface 4 Özdemir, Ceyhun 4 Panasenko, Grigory P. 4 Pérez, Eugenia 4 Polyakova, Oksana R. 4 Rossovskiĭ, Leonid Efimovich 4 Schrohe, Elmar 4 Schwab, Christoph 4 Shakhmurov, Veli B. 4 Specovius-Neugebauer, Maria Ursula 4 Sweers, Guido H. 4 Videman, Juha Hans 3 Ammari, Habib 3 Aslanov, Hamidulla Israfil 3 Assous, Franck 3 Biquard, Olivier 3 Bochniak, Marius 3 Bonnet-Ben Dhia, Anne-Sophie 3 Bourlard, Maryse 3 Bramble, James H. 3 Chaouchi, Belkacem 3 Choi, Jongkeun 3 Davletov, Dmitriĭ Borisovich 3 Durante, Tiziana 3 Elling, Volker W. 3 Ferraresso, Francesco 3 Grachev, Nikolai V. 3 Gurevich, Pavel L. 3 Hatamova, Roya F. 3 Hofmann, Steve 3 Jimbo, Shuichi 3 Kokotov, Aleksey 3 Kostić, Marko 3 Laurain, Antoine 3 Lauter, Robert 3 Luzzini, Paolo 3 Mukhametrakhimova, Albina I. 3 Neittaanmäki, Pekka J. 3 Orive Illera, Rafael 3 Ramm, Alexander G. 3 Rösch, Arnd 3 Savin, Anton Yur’evich 3 Senichkin, V. 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