Edit Profile Plamenevskiĭ, Boris Alekseevich Compute Distance To: Compute Author ID: plamenevskii.boris-a Published as: Plamenevskii, B.; Plamenevskii, B. A.; Plamenevskii, Boris; Plamenevskii, Boris A.; Plamenevskij, B. A.; Plamenevskij, Boris; Plamenevskiĭ, B.; Plamenevskiĭ, B. A.; Plamenevskiĭ, Boris A.; Plamenevskiǐ, Boris A.; Plamenevsky, Boris; Plamenevsky, Boris A. Homepage: http://math.nw.ru/wp/?p=708&lang=en External Links: MGP · Math-Net.Ru · Wikidata · ORCID Documents Indexed: 193 Publications since 1964, including 7 Books all top 5 Co-Authors 35 single-authored 78 Maz’ya, Vladimir Gilelevich 36 Nazarov, Sergeĭ Aleksandrovich 24 Senichkin, V. N. 14 Neittaanmäki, Pekka J. 13 Sarafanov, Oleg V. 6 Poretskiĭ, Aleksandr S. 5 Kokotov, A. Yu. 5 Rozenblyum, G. V. 4 Grikurov, Valery E. 4 Kalvine, Viktor O. 4 Yudovin, M. Eh. 3 Baskin, Lev 3 Heikkola, Erkki 3 Kabardov, M. M. 3 Morozov, Nikita Fedorovich 2 Babich, Vasiliĭ Mikhaĭlovich 2 Faddeev, Lyudvig Dmitrievich 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 Baskin, L. M. 1 Buslaev, Vladimir Savel’evich 1 Fedotov, Andrey A. 1 Gindikin, Simon Grigorevich 1 Khavin, Viktor Petrovich 1 Its, Alexander Rudolfovich 1 Kislyakov, Sergeĭ Vital’evich 1 Koplienko, L. S. 1 Korikov, D. 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 17 Soviet Mathematics. Doklady 16 St. Petersburg Mathematical Journal 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 Problemy Matematicheskogo Analiza 5 Matematicheskiĭ Sbornik. Novaya Seriya 5 Algebra i Analiz 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 5 Journal of Mathematical Sciences (New York) 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 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 all top 5 Fields 153 Partial differential equations (35-XX) 49 Operator theory (47-XX) 41 Functional analysis (46-XX) 18 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 9 Ordinary differential equations (34-XX) 6 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) 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) 2 Statistical mechanics, structure of matter (82-XX) 1 \(K\)-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 105 Publications have been cited 950 times in 650 Documents Cited by ▼ Year ▼ Elliptic problems in domains with piecewise smooth boundaries. Zbl 0806.35001Nazarov, Sergey A.; Plamenevsky, Boris A. 272 1994 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in domains with conical points. Zbl 0359.35024Maz’ya, V. G.; Plamenevskij, B. A. 99 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 0371.35018Maz’ya, V. G.; Plamenevskij, B. A. 67 1978 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 60 2000 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 0554.35035Maz’ya, V. G.; Plamenevskij, B. A. 49 1984 Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes. Zbl 0566.35031Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 23 1985 On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Zbl 0554.35036Maz’ya, V. G.; Plamenevskij, B. A. 23 1984 The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I. Zbl 0532.35065Maz’ya, V. G.; Plamenevskij, B. A. 15 1983 Algebras of pseudodifferential operators with piecewise smooth symbols. Zbl 0677.35090Plamenevskii, Boris 14 1989 Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. Zbl 0462.35001Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A. 14 1981 Algebras of pseudodifferential operators (Algebry psevdodifferentsial’nykh operatorov). Zbl 0615.47038Plamenevskij, B. A. 13 1986 Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone. Zbl 0396.35038Maz’ya, V. G.; Plamenevskij, B. A. 12 1978 On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. Zbl 1073.35153Kokotov, A.; Plamenevskiĭ, B. 11 2005 The three-dimensional problem of steady-state motion of a fluid with a free surface. Zbl 0553.76028Maz’ya, V. G.; Plamenevskiĭ, B. A.; Stupelis, L. I. 11 1984 The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II. Zbl 0554.35099Maz’ya, V. G.; Plamenevskij, B. A. 10 1983 \(L_ p-\)estimates of solutions of elliptic boundary value problems in domains with edges. Zbl 0453.35025Mazya, V. G.; Plamenevskij, B. A. 10 1980 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0821.35042Nazarov, S. A.; Plamenevskij, B. A. 9 1994 Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points. Zbl 0554.35037Maz’ya, V. G.; Plamenevskij, B. A. 9 1984 Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A. 8 1999 On radiation conditions for selfadjoint elliptic problems. Zbl 0725.35072Nazarov, S. A.; Plamenevskij, B. A. 8 1990 Asymptotics of the spectrum of the Neumann problem in singularly perturbed thin domains. I. Zbl 0751.35027Nazarov, S. A.; Plamenevskij, B. A. 8 1990 On the asymptotics of the solutions of elliptic boundary value problems in an irregularly perturbed domain. Zbl 0491.35013Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 8 1981 On computation of scattering matrices and on surface waves for diffraction gratings. Zbl 1022.78009Grikurov, Valery E.; Heikkola, Erkki; Neittaanmäki, Pekka; Plamenevskii, Boris A. 7 2003 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff. Zbl 1127.35300Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 7 2000 On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points. Zbl 0597.73027Maz’ya, V. G.; Plamenevskij, B. A. 7 1984 On singularities of solutions of the Dirichlet problem in the exterior of a thin cone. Zbl 0543.35026Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 7 1983 On the asymptotics of the solution of the Dirichlet problem near the isolated singularity of a boundary. Zbl 0371.35012Maz’ya, V. G.; Plamenevskij, B. A. 7 1977 Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. Zbl 1202.35061Baskin, Lev; Neittaanmäki, Pekka; Plamenevsky, Boris; Sarafanov, Oleg 5 2009 Elliptic problems with radiation conditions on the edges of the boundary. Zbl 0779.35036Nazarov, S. A.; Plamenevskij, B. A. 5 1992 On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone. Zbl 0599.35056Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1985 Asymptotics of the solutions of the Dirichlet problem in a domain with a cut out thin tube. Zbl 0473.35019Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1981 On the coefficients in the asymptotics of solutions of elliptic boundary- value problems near conical points. Zbl 0318.35005Maz’ya, V. G.; Plamenevskij, B. A. 5 1974 On the asymptotic behavior of solutions of differential equations in Hilbert space. Zbl 0266.34067Maz’ya, V. G.; Plamenevskij, B. A. 5 1973 Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003Baskin, Lev; Neittaanmäki, Pekka; Plamenevskii, Boris; Sarafanov, Oleg 4 2015 Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V. 4 2013 On a method for computing waveguide scattering matrices. Zbl 1234.35167Plamenevskij, B. A.; Sarafanov, O. V. 4 2012 Elliptic boundary value problems in domains with piecewise smooth boundary. Zbl 0880.35003Plamenevskij, B. A. 4 1997 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0839.35035Nazarov, S. A.; Plamenevskij, B. A. 4 1994 Elliptic problems with radiation conditions on edges of the boundary. Zbl 0789.35048Nazarov, S. A.; Plamenevskij, B. A. 4 1992 Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube. Zbl 0502.35017Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 4 1983 Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece. Zbl 0512.35021Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 4 1982 On the asymptotics of the fundamental solutions of elliptic boundary value problems in domains with conic points. Zbl 0417.35014Maz’ya, V. G.; Plamenevskij, B. A. 4 1979 Elliptic boundary value problems on manifolds with singularities. Zbl 0453.58022Maz’ya, V. G.; Plamenevskij, B. A. 4 1977 Problems with oblique derivatives in regions with piecewise smooth boundaries. Zbl 0232.35047Maz’ya, V. G.; Plamenevskij, B. A. 4 1972 On a method for computing waveguide scattering matrices in the presence of point spectrum. Zbl 06383404Plamenevskii, B. A.; Sarafanov, O. V. 3 2014 Solvability of algebras of pseudodifferential operators with piecewise smooth coefficients on smooth manifolds. Zbl 1218.47137Plamenevskiĭ, B. A. 3 2010 On spectral properties of elliptic problems in domains with cylindrical ends. Zbl 1361.35117Plamenevskii, B. A. 3 2007 Schauder estimates of solutions of elliptic boundary value problems in domains with edges on the boundary. Zbl 0554.35038Maz’ya, V. G.; Plamenevskij, B. A. 3 1984 Dirichlet problem in domains with thin bridges. Zbl 0553.35018Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 3 1984 The absence of a theorem of De Giorgi type for strongly elliptic equations with complex coefficients. Zbl 0498.35033Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 3 1982 On the maximum principle for the biharmonic equation in a domain with conic points. Zbl 0462.31004Maz’ya, V. G.; Plamenevskij, B. A. 3 1981 Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities. Zbl 1364.35356Korikov, D. V.; Plamenevskiĭ, B. A. 2 2017 Method for computing waveguide scattering matrices in the vicinity of thresholds. Zbl 1317.47012Plamenevskiǐ, Boris A.; Poretskiǐ, A. S.; Sarafanov, Oleg V. 2 2015 On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. Zbl 0954.35104Kokotov, A. Yu.; Plamenevskij, B. A. 2 1999 On the Dirichlet problem for the wave equation in a cylinder with edges. Zbl 0910.35018Plamenevskij, B. A. 2 1998 Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary. Zbl 0778.35033Nazarov, S. A.; Plamenevskij, B. A. 2 1993 A generalized Green’s formula for elliptic problems in domains with edges. Zbl 0847.35024Nazarov, S. A.; Plamenevskij, B. A. 2 1992 Selfadjoint elliptic problems with radiation conditions on the edges of the boundary. Zbl 0806.35027Nazarov, S. A.; Plamenevskij, B. A. 2 1992 Algebras of pseudodifferential operators. Transl. from the Russian by R. A. M. Horsbergen. Zbl 0679.47027Plamenevskij, B. A. 2 1989 On nonlinear bending of a plate with a crack. Zbl 0552.73043Maz’ya, V. G.; Morozov, N. F.; Plamenevskij, B. A. 2 1984 Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points. Zbl 0429.35031Maz’ya, V. G.; Plamenevskij, B. A. 2 1978 On an algebra of pseudodifferential operators in spaces with weighted norms. Zbl 0414.35079Plamenevskij, B. A. 2 1978 Über eine Algebra von Pseudodifferentialoperatoren in Räumen mit bewichteten Normen. Zbl 0385.35055Plamenevskii, B. A. 2 1978 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in a cone. Zbl 0351.35010Maz’ya, V. G.; Plamenevskij, B. A. 2 1975 Comparison of asymptotic and numerical approaches to the study of the resonant tunneling in two-dimensional symmetric quantum waveguides of variable cross-sections. Zbl 1419.81017Kabardov, M. M.; Plamenevskii, B. A.; Sarafanov, O. V.; Sharkova, N. M. 1 2019 Behavior of waveguide scattering matrices in a neighborhood of thresholds. Zbl 1408.35114Plamenevskii, B. A.; Poretskii, A. S. 1 2019 The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling. Zbl 1387.35567Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 1 2018 Computation of waveguide scattering matrix near thresholds. Zbl 1368.78084Kabardov, M. M.; Plamenevskii, B. A.; Sharkova, N. M. 1 2017 On computation of waveguide scattering matrices for the Maxwell system. Zbl 1327.35361Plamenevskii, B. A.; Poretskii, A. S.; Sarafanov, O. V. 1 2015 Asymptotic theory of resonant tunneling in 3D waveguides of variable cross-section in a magnetic field. Zbl 1304.35665Baskin, L.; Plamenevskii, B.; Sarafanov, O. 1 2014 The Maxwell system in waveguides with several cylindrical ends. Zbl 1294.35158Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 1 2014 Elastodynamics in domains with edges. Zbl 1284.35427Matyukevich, S. I.; Plamenevskiĭ, B. A. 1 2007 Method for computing scattering matrices for general dissipative and selfadjoint elliptic problems in domains with cylindrical ends. Zbl 1099.35031Kalvine, V. O.; Neittaanmäki, Pekka; Plamenevskii, B. A. 1 2004 A method of searching for surface waves in diffraction gratings. Zbl 1148.35312Grikurov, V. E.; Heikkola, E.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2002 Representations of \(C^*\)-algebras of pseudodifferential operators on piecewise smooth manifolds. Zbl 1029.47052Plamenevskij, B. A.; Senichkin, V. N. 1 2002 The Neumann problem for the wave equation in a cone. Zbl 0996.35013Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A. 1 2000 On a class of pseudodifferential operators in \(\mathbb{R}^m\) and on stratified manifolds. Zbl 0961.35188Plamenevskij, B. A.; Senichkin, V. N. 1 2000 On composition series in algebras of pseudodifferential operators and in algebras of Wiener-Hopf operators. Zbl 0902.46033Plamenevskij, B. A.; Senichkin, V. N. 1 1996 Solvable algebras of operators. Zbl 0831.46061Plamenevskij, B. A.; Senichkin, V. N. 1 1994 Solvable operator algebras. Zbl 0839.46051Plamenevskij, B. A.; Senichkin, V. N. 1 1994 Representations of \(C^*\)-algebras generated by pseudodifferential operators in weighted spaces. Zbl 0807.35170Plamenevskij, B. A.; Senichkin, V. N. 1 1993 On the topological properties of algebras of singular integral operators on a contour with discontinuous symbols. Zbl 0773.46035Plamenevskij, B. A.; Rozenblyum, G. V. 1 1991 On the index of pseudodifferential operators with isolated singularities in the symbols. Zbl 0746.35061Plamenevskij, B. A.; Rozenblyum, G. V. 1 1990 Spectrum of the algebra of pseudodifferential operators with piecewise smooth symbols. Zbl 0676.46044Plamenevskij, B. A.; Senichkin, V. N. 1 1989 On the spectrum of \(C^*\)-algebras of pseudo-differential operators with singularities in the symbols. Zbl 0573.47035Plamenevskij, B. A.; Senichkin, V. N. 1 1985 Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients. Zbl 0562.35030Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1985 Elliptic boundary-value problems in domains of the exterior-of-a-cusp type. Zbl 0643.35035Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1984 The spectrum of an algebra of pseudodifferential operators with discontinuous symbols on a manifold with boundary. Zbl 0591.58029Plamenevskij, B. A.; Senichkin, V. N. 1 1984 On the bending of a nearly polygonal plate with freely supported boundary. Zbl 0581.73067Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1983 On bending of a nearly polygonal plate with freely supported boundary. Zbl 0571.73055Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1983 On the spectrum of \(C^*\)-algebras generated by pseudo-differential operators with discontinuous symbols. Zbl 0551.47023Plamenevskij, B. A.; Senichkin, V. N. 1 1983 First boundary value problem for the equations of hydrodynamics in a domain with a piecewise-smooth boundary. Zbl 0506.76032Maz’ya, V. G.; Plamenevskij, B. A. 1 1983 About algebras generated by pseudodifferential operators with isolated singularities of the symbols. Zbl 0513.35081Plamenevskij, B. A. 1 1982 On the asymptotics of the solution of the Dirichlet problem near an isolated singularity of the boundary. Zbl 0494.35038Maz’ya, V. G.; Plamenevskij, B. A. 1 1982 The maximum principle for biharmonic equations in a region with conical points. Zbl 0475.31005Maz’ya, V. G.; Plamenevskij, B. A. 1 1981 Estimates of Green’s functions and Schauder estimates for solutions of elliptic boundary problems in a dihedral angle. Zbl 0417.35017Maz’ya, V. G.; Plamenevskij, B. A. 1 1979 \(L_p\)-Abschätzungen der Lösungen elliptischer Randwertprobleme in Gebieten mit Kanten. Zbl 0441.35028Maz’ya, V. G.; Plamenevskij, B. A. 1 1978 Schauder estimations of solutions of elliptic boundary value problems in domains with edges on the boundary. Zbl 0423.35021Maz’ya, V. G.; Plamenevskij, B. A. 1 1978 A correctly posed problem for singular integral equations with vanishing symbols. Zbl 0395.45006Maz’ya, V. G.; Plamenevskij, B. A.; Khajkin, Yu. E. 1 1977 On the coefficients in the asymptotics of solutions of elliptic boundary value problems near the edge. Zbl 0355.35032Maz’ya, V. G.; Plamenevskij, B. A. 1 1976 Comparison of asymptotic and numerical approaches to the study of the resonant tunneling in two-dimensional symmetric quantum waveguides of variable cross-sections. Zbl 1419.81017Kabardov, M. M.; Plamenevskii, B. A.; Sarafanov, O. V.; Sharkova, N. M. 1 2019 Behavior of waveguide scattering matrices in a neighborhood of thresholds. Zbl 1408.35114Plamenevskii, B. A.; Poretskii, A. S. 1 2019 The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling. Zbl 1387.35567Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 1 2018 Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities. Zbl 1364.35356Korikov, D. V.; Plamenevskiĭ, B. A. 2 2017 Computation of waveguide scattering matrix near thresholds. Zbl 1368.78084Kabardov, M. M.; Plamenevskii, B. A.; Sharkova, N. M. 1 2017 Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003Baskin, Lev; Neittaanmäki, Pekka; Plamenevskii, Boris; Sarafanov, Oleg 4 2015 Method for computing waveguide scattering matrices in the vicinity of thresholds. Zbl 1317.47012Plamenevskiǐ, Boris A.; Poretskiǐ, A. S.; Sarafanov, Oleg V. 2 2015 On computation of waveguide scattering matrices for the Maxwell system. Zbl 1327.35361Plamenevskii, B. A.; Poretskii, A. S.; Sarafanov, O. V. 1 2015 On a method for computing waveguide scattering matrices in the presence of point spectrum. Zbl 06383404Plamenevskii, B. A.; Sarafanov, O. V. 3 2014 Asymptotic theory of resonant tunneling in 3D waveguides of variable cross-section in a magnetic field. Zbl 1304.35665Baskin, L.; Plamenevskii, B.; Sarafanov, O. 1 2014 The Maxwell system in waveguides with several cylindrical ends. Zbl 1294.35158Plamenevskiĭ, B. A.; Poretskiĭ, A. S. 1 2014 Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V. 4 2013 On a method for computing waveguide scattering matrices. Zbl 1234.35167Plamenevskij, B. A.; Sarafanov, O. V. 4 2012 Solvability of algebras of pseudodifferential operators with piecewise smooth coefficients on smooth manifolds. Zbl 1218.47137Plamenevskiĭ, B. A. 3 2010 Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. Zbl 1202.35061Baskin, Lev; Neittaanmäki, Pekka; Plamenevsky, Boris; Sarafanov, Oleg 5 2009 On spectral properties of elliptic problems in domains with cylindrical ends. Zbl 1361.35117Plamenevskii, B. A. 3 2007 Elastodynamics in domains with edges. Zbl 1284.35427Matyukevich, S. I.; Plamenevskiĭ, B. A. 1 2007 On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. Zbl 1073.35153Kokotov, A.; Plamenevskiĭ, B. 11 2005 Method for computing scattering matrices for general dissipative and selfadjoint elliptic problems in domains with cylindrical ends. Zbl 1099.35031Kalvine, V. O.; Neittaanmäki, Pekka; Plamenevskii, B. A. 1 2004 On computation of scattering matrices and on surface waves for diffraction gratings. Zbl 1022.78009Grikurov, Valery E.; Heikkola, Erkki; Neittaanmäki, Pekka; Plamenevskii, Boris A. 7 2003 A method of searching for surface waves in diffraction gratings. Zbl 1148.35312Grikurov, V. E.; Heikkola, E.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2002 Representations of \(C^*\)-algebras of pseudodifferential operators on piecewise smooth manifolds. Zbl 1029.47052Plamenevskij, 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 1127.35301Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 60 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 1127.35300Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 7 2000 The Neumann problem for the wave equation in a cone. Zbl 0996.35013Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A. 1 2000 On a class of pseudodifferential operators in \(\mathbb{R}^m\) and on stratified manifolds. Zbl 0961.35188Plamenevskij, B. A.; Senichkin, V. N. 1 2000 Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A. 8 1999 On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. Zbl 0954.35104Kokotov, A. Yu.; Plamenevskij, B. A. 2 1999 On the Dirichlet problem for the wave equation in a cylinder with edges. Zbl 0910.35018Plamenevskij, B. A. 2 1998 Elliptic boundary value problems in domains with piecewise smooth boundary. Zbl 0880.35003Plamenevskij, B. A. 4 1997 On composition series in algebras of pseudodifferential operators and in algebras of Wiener-Hopf operators. Zbl 0902.46033Plamenevskij, B. A.; Senichkin, V. N. 1 1996 Elliptic problems in domains with piecewise smooth boundaries. Zbl 0806.35001Nazarov, Sergey A.; Plamenevsky, Boris A. 272 1994 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0821.35042Nazarov, S. A.; Plamenevskij, B. A. 9 1994 Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0839.35035Nazarov, S. A.; Plamenevskij, B. A. 4 1994 Solvable algebras of operators. Zbl 0831.46061Plamenevskij, B. A.; Senichkin, V. N. 1 1994 Solvable operator algebras. Zbl 0839.46051Plamenevskij, B. A.; Senichkin, V. N. 1 1994 Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary. Zbl 0778.35033Nazarov, S. A.; Plamenevskij, B. A. 2 1993 Representations of \(C^*\)-algebras generated by pseudodifferential operators in weighted spaces. Zbl 0807.35170Plamenevskij, B. A.; Senichkin, V. N. 1 1993 Elliptic problems with radiation conditions on the edges of the boundary. Zbl 0779.35036Nazarov, S. A.; Plamenevskij, B. A. 5 1992 Elliptic problems with radiation conditions on edges of the boundary. Zbl 0789.35048Nazarov, S. A.; Plamenevskij, B. A. 4 1992 A generalized Green’s formula for elliptic problems in domains with edges. Zbl 0847.35024Nazarov, S. A.; Plamenevskij, B. A. 2 1992 Selfadjoint elliptic problems with radiation conditions on the edges of the boundary. Zbl 0806.35027Nazarov, S. A.; Plamenevskij, B. A. 2 1992 On the topological properties of algebras of singular integral operators on a contour with discontinuous symbols. Zbl 0773.46035Plamenevskij, B. A.; Rozenblyum, G. V. 1 1991 On radiation conditions for selfadjoint elliptic problems. Zbl 0725.35072Nazarov, S. A.; Plamenevskij, B. A. 8 1990 Asymptotics of the spectrum of the Neumann problem in singularly perturbed thin domains. I. Zbl 0751.35027Nazarov, S. A.; Plamenevskij, B. A. 8 1990 On the index of pseudodifferential operators with isolated singularities in the symbols. Zbl 0746.35061Plamenevskij, B. A.; Rozenblyum, G. V. 1 1990 Algebras of pseudodifferential operators with piecewise smooth symbols. Zbl 0677.35090Plamenevskii, Boris 14 1989 Algebras of pseudodifferential operators. Transl. from the Russian by R. A. M. Horsbergen. Zbl 0679.47027Plamenevskij, B. A. 2 1989 Spectrum of the algebra of pseudodifferential operators with piecewise smooth symbols. Zbl 0676.46044Plamenevskij, B. A.; Senichkin, V. N. 1 1989 Algebras of pseudodifferential operators (Algebry psevdodifferentsial’nykh operatorov). Zbl 0615.47038Plamenevskij, B. A. 13 1986 Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes. Zbl 0566.35031Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 23 1985 On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone. Zbl 0599.35056Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 5 1985 On the spectrum of \(C^*\)-algebras of pseudo-differential operators with singularities in the symbols. Zbl 0573.47035Plamenevskij, B. A.; Senichkin, V. N. 1 1985 Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients. Zbl 0562.35030Maz’ya, V. G.; Nazarov, S. A.; 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 0554.35035Maz’ya, V. G.; Plamenevskij, B. A. 49 1984 On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Zbl 0554.35036Maz’ya, V. G.; Plamenevskij, B. A. 23 1984 The three-dimensional problem of steady-state motion of a fluid with a free surface. Zbl 0553.76028Maz’ya, V. G.; Plamenevskiĭ, B. A.; Stupelis, L. I. 11 1984 Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points. Zbl 0554.35037Maz’ya, V. G.; Plamenevskij, B. A. 9 1984 On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points. Zbl 0597.73027Maz’ya, V. G.; Plamenevskij, B. A. 7 1984 Schauder estimates of solutions of elliptic boundary value problems in domains with edges on the boundary. Zbl 0554.35038Maz’ya, V. G.; Plamenevskij, B. A. 3 1984 Dirichlet problem in domains with thin bridges. Zbl 0553.35018Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 3 1984 On nonlinear bending of a plate with a crack. Zbl 0552.73043Maz’ya, V. G.; Morozov, N. F.; Plamenevskij, B. A. 2 1984 Elliptic boundary-value problems in domains of the exterior-of-a-cusp type. Zbl 0643.35035Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1984 The spectrum of an algebra of pseudodifferential operators with discontinuous symbols on a manifold with boundary. Zbl 0591.58029Plamenevskij, 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 0532.35065Maz’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 0554.35099Maz’ya, V. G.; Plamenevskij, B. A. 10 1983 On singularities of solutions of the Dirichlet problem in the exterior of a thin cone. Zbl 0543.35026Maz’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 0502.35017Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 4 1983 On the bending of a nearly polygonal plate with freely supported boundary. Zbl 0581.73067Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1983 On bending of a nearly polygonal plate with freely supported boundary. Zbl 0571.73055Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 1 1983 On the spectrum of \(C^*\)-algebras generated by pseudo-differential operators with discontinuous symbols. Zbl 0551.47023Plamenevskij, B. A.; Senichkin, V. N. 1 1983 First boundary value problem for the equations of hydrodynamics in a domain with a piecewise-smooth boundary. Zbl 0506.76032Maz’ya, V. G.; Plamenevskij, B. A. 1 1983 Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece. Zbl 0512.35021Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 4 1982 The absence of a theorem of De Giorgi type for strongly elliptic equations with complex coefficients. Zbl 0498.35033Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 3 1982 About algebras generated by pseudodifferential operators with isolated singularities of the symbols. Zbl 0513.35081Plamenevskij, B. A. 1 1982 On the asymptotics of the solution of the Dirichlet problem near an isolated singularity of the boundary. Zbl 0494.35038Maz’ya, V. G.; Plamenevskij, B. A. 1 1982 Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. Zbl 0462.35001Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A. 14 1981 On the asymptotics of the solutions of elliptic boundary value problems in an irregularly perturbed domain. Zbl 0491.35013Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 8 1981 Asymptotics of the solutions of the Dirichlet problem in a domain with a cut out thin tube. Zbl 0473.35019Maz’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 0462.31004Maz’ya, V. G.; Plamenevskij, B. A. 3 1981 The maximum principle for biharmonic equations in a region with conical points. Zbl 0475.31005Maz’ya, V. G.; Plamenevskij, B. A. 1 1981 \(L_ p-\)estimates of solutions of elliptic boundary value problems in domains with edges. Zbl 0453.35025Mazya, V. G.; Plamenevskij, B. A. 10 1980 On the asymptotics of the fundamental solutions of elliptic boundary value problems in domains with conic points. Zbl 0417.35014Maz’ya, V. G.; Plamenevskij, B. A. 4 1979 Estimates of Green’s functions and Schauder estimates for solutions of elliptic boundary problems in a dihedral angle. Zbl 0417.35017Maz’ya, V. G.; 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 0371.35018Maz’ya, V. G.; Plamenevskij, B. A. 67 1978 Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone. Zbl 0396.35038Maz’ya, V. G.; Plamenevskij, B. A. 12 1978 Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points. Zbl 0429.35031Maz’ya, V. G.; Plamenevskij, B. A. 2 1978 On an algebra of pseudodifferential operators in spaces with weighted norms. Zbl 0414.35079Plamenevskij, B. A. 2 1978 Über eine Algebra von Pseudodifferentialoperatoren in Räumen mit bewichteten Normen. Zbl 0385.35055Plamenevskii, B. A. 2 1978 \(L_p\)-Abschätzungen der Lösungen elliptischer Randwertprobleme in Gebieten mit Kanten. Zbl 0441.35028Maz’ya, V. G.; Plamenevskij, B. A. 1 1978 Schauder estimations of solutions of elliptic boundary value problems in domains with edges on the boundary. Zbl 0423.35021Maz’ya, V. G.; Plamenevskij, B. A. 1 1978 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in domains with conical points. Zbl 0359.35024Maz’ya, V. G.; Plamenevskij, B. A. 99 1977 On the asymptotics of the solution of the Dirichlet problem near the isolated singularity of a boundary. Zbl 0371.35012Maz’ya, V. G.; Plamenevskij, B. A. 7 1977 Elliptic boundary value problems on manifolds with singularities. Zbl 0453.58022Maz’ya, V. G.; Plamenevskij, B. A. 4 1977 A correctly posed problem for singular integral equations with vanishing symbols. Zbl 0395.45006Maz’ya, V. G.; Plamenevskij, B. A.; Khajkin, Yu. E. 1 1977 On the coefficients in the asymptotics of solutions of elliptic boundary value problems near the edge. Zbl 0355.35032Maz’ya, V. G.; Plamenevskij, B. A. 1 1976 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in a cone. Zbl 0351.35010Maz’ya, V. G.; Plamenevskij, B. A. 2 1975 On the coefficients in the asymptotics of solutions of elliptic boundary- value problems near conical points. Zbl 0318.35005Maz’ya, V. G.; Plamenevskij, B. A. 5 1974 On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space. Zbl 0277.34059Plamenevskii, B. A. 1 1974 On the asymptotic behavior of solutions of differential equations in Hilbert space. Zbl 0266.34067Maz’ya, V. G.; Plamenevskij, B. A. 5 1973 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 565 Authors 166 Nazarov, Sergeĭ Aleksandrovich 21 Nicaise, Serge 21 Plamenevskiĭ, Boris Alekseevich 20 Maz’ya, Vladimir Gilelevich 16 Brenner, Susanne Cecelia 15 Kozlov, Vladimir A. 14 Dauge, Monique 13 Taskinen, Jari 12 Rossmann, Jürgen 12 Sarafanov, Oleg V. 10 Pileckas, Konstantin 9 Costabel, Martin 9 Nguyen Manh Hung 9 Schulze, Bert-Wolfgang 8 Argatov, Ivan I. 8 Sändig, Anna-Margarete 8 Sokołowski, Jan 8 Solonnikov, Vsevolod Alekseevich 8 Sung, Li-Yeng 7 Apel, Thomas 7 Borisov, Denis Ivanovich 7 Khludnev, Aleksandr Mikhaĭlovich 7 Nistor, Victor 7 Tarkhanov, Nikolai N. 6 Cardone, Giuseppe 6 Cui, Jintao 6 Kweon, Jae Ryong 6 Lubuma, Jean Mbaro-Saman 6 Movchan, Alexander B. 6 Musolino, Paolo 5 Bacuta, Constantin 5 Chechkin, Gregory A. 5 Ciarlet, Patrick jun. 5 Claeys, Xavier 5 Dalla Riva, Matteo 5 Li, Hengguang 5 Poretskiĭ, Aleksandr S. 5 Ruotsalainen, Keijo Matti 5 Stephan, Ernst Peter 5 Vasilyev, Vladimir Borisovich 4 Amrouche, Chérif 4 Babuška, Ivo 4 Chesnel, Lucas 4 Gómez, Delfina 4 Guo, Benqi 4 Kabardov, M. M. 4 Mel’nyk, Taras A. 4 Pérez, Eugenia 4 Polyakova, Oksana R. 4 Schrohe, Elmar 4 Schwab, Christoph 4 Shakhmurov, Veli B. 4 Slutskij, Andrey S. 4 Sweers, Guido H. 4 Videman, Juha Hans 3 Assous, Franck 3 Bakharev, Fedor L’vovich 3 Biquard, Olivier 3 Bochniak, Marius 3 Bourlard, Maryse 3 Bramble, James H. 3 Choi, Jongkeun 3 Durante, Tiziana 3 Elling, Volker W. 3 Gimperlein, Heiko 3 Grachev, Nikolai V. 3 Lamberti, Pier Domenico 3 Lauter, Robert 3 Mayboroda, Svitlana 3 Mukhametrakhimova, A. I. 3 Neittaanmäki, Pekka J. 3 Nkemzi, Boniface 3 Özdemir, Ceyhun 3 Panasenko, Grigory P. 3 Ramm, Alexander G. 3 Rösch, Arnd 3 Rossovskiĭ, Leonid Efimovich 3 Senichkin, V. N. 3 Shlapunov, Aleksandr Anatol’evich 3 Skubachevskij, Alexander L. 3 Specovius-Neugebauer, Maria Ursula 3 Stark, David R. 3 Steigemann, Martin 3 Szulc, Katarzyna 3 Tani, Atusi 3 Vasylyeva, Nataliya V. 2 Amann, Herbert 2 Ammann, Bernd Eberhard 2 Amstutz, Samuel 2 Arrieta, José M. 2 Baskin, L. M. 2 Bazaliy, Borys V. 2 Blum, Heribert 2 Bogolyubov, Aleksandr Nikolaevich 2 Bonnet, Marc 2 Cakoni, Fioralba 2 Chiadò Piat, Valeria 2 Collino, Francis 2 Davletov, Dmitriĭ Borisovich 2 Dong, Hongjie ...and 465 more Authors all top 5 Cited in 160 Serials 62 Journal of Mathematical Sciences (New York) 26 Mathematical Methods in the Applied Sciences 22 Journal of Applied Mathematics and Mechanics 19 Journal of Mathematical Analysis and Applications 19 Journal of Differential Equations 19 St. Petersburg Mathematical Journal 17 Siberian Mathematical Journal 15 Mathematical Notes 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Numerische Mathematik 13 Journal of Computational and Applied Mathematics 13 Mathematische Nachrichten 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 ZAMP. 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