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Plamenevskiĭ, Boris Alekseevich

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Author ID: plamenevskii.boris-a Recent zbMATH articles by "Plamenevskiĭ, Boris Alekseevich"
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

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

Publications by Year

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 0806.35001
Nazarov, 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 0359.35024
Maz’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 0371.35018
Maz’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 1127.35301
Maz’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 0554.35035
Maz’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 0566.35031
Maz’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 0554.35036
Maz’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 0532.35065
Maz’ya, V. G.; Plamenevskij, B. A.
15
1983
Algebras of pseudodifferential operators with piecewise smooth symbols. Zbl 0677.35090
Plamenevskii, Boris
14
1989
Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. Zbl 0462.35001
Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A.
14
1981
Algebras of pseudodifferential operators (Algebry psevdodifferentsial’nykh operatorov). Zbl 0615.47038
Plamenevskij, B. A.
13
1986
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
On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. Zbl 1073.35153
Kokotov, A.; Plamenevskiĭ, B.
11
2005
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.
11
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.
10
1983
\(L_ p-\)estimates of solutions of elliptic boundary value problems in domains with edges. Zbl 0453.35025
Mazya, V. G.; Plamenevskij, B. A.
10
1980
Selfadjoint elliptic problems: The scattering operator and the polarization operator on edges of the boundary. Zbl 0821.35042
Nazarov, S. A.; Plamenevskij, B. A.
9
1994
Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points. Zbl 0554.35037
Maz’ya, V. G.; Plamenevskij, B. A.
9
1984
Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160
Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A.
8
1999
On radiation conditions for selfadjoint elliptic problems. Zbl 0725.35072
Nazarov, S. A.; Plamenevskij, B. A.
8
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 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.
8
1981
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.
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 1127.35300
Maz’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 0597.73027
Maz’ya, V. G.; Plamenevskij, B. A.
7
1984
On singularities of solutions of the Dirichlet problem in the exterior of a thin cone. Zbl 0543.35026
Maz’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 0371.35012
Maz’ya, V. G.; Plamenevskij, B. A.
7
1977
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
Elliptic problems with radiation conditions on the edges of the boundary. Zbl 0779.35036
Nazarov, S. A.; Plamenevskij, B. A.
5
1992
On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone. Zbl 0599.35056
Maz’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 0473.35019
Maz’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 0318.35005
Maz’ya, V. G.; Plamenevskij, B. A.
5
1974
On the asymptotic behavior of solutions of differential equations in Hilbert space. Zbl 0266.34067
Maz’ya, V. G.; Plamenevskij, B. A.
5
1973
Resonant tunneling. Quantum waveguides of variable cross-section, asymptotics, numerics, and applications. Zbl 1338.81003
Baskin, 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 1313.78034
Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V.
4
2013
On a method for computing waveguide scattering matrices. Zbl 1234.35167
Plamenevskij, B. A.; Sarafanov, O. V.
4
2012
Elliptic boundary value problems in domains with piecewise smooth boundary. Zbl 0880.35003
Plamenevskij, B. A.
4
1997
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
Elliptic problems with radiation conditions on edges of the boundary. Zbl 0789.35048
Nazarov, S. A.; Plamenevskij, B. A.
4
1992
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.
4
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.
4
1982
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.
4
1979
Elliptic boundary value problems on manifolds with singularities. Zbl 0453.58022
Maz’ya, V. G.; Plamenevskij, B. A.
4
1977
Problems with oblique derivatives in regions with piecewise smooth boundaries. Zbl 0232.35047
Maz’ya, V. G.; Plamenevskij, B. A.
4
1972
On a method for computing waveguide scattering matrices in the presence of point spectrum. Zbl 06383404
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
On spectral properties of elliptic problems in domains with cylindrical ends. Zbl 1361.35117
Plamenevskii, B. A.
3
2007
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.
3
1984
Dirichlet problem in domains with thin bridges. Zbl 0553.35018
Maz’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 0498.35033
Maz’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 0462.31004
Maz’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 1364.35356
Korikov, D. V.; Plamenevskiĭ, B. A.
2
2017
Method for computing waveguide scattering matrices in the vicinity of thresholds. Zbl 1317.47012
Plamenevskiǐ, Boris A.; Poretskiǐ, A. S.; Sarafanov, Oleg V.
2
2015
On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. Zbl 0954.35104
Kokotov, A. Yu.; Plamenevskij, B. A.
2
1999
On the Dirichlet problem for the wave equation in a cylinder with edges. Zbl 0910.35018
Plamenevskij, B. A.
2
1998
Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary. Zbl 0778.35033
Nazarov, S. A.; Plamenevskij, B. A.
2
1993
A generalized Green’s formula for elliptic problems in domains with edges. Zbl 0847.35024
Nazarov, S. A.; Plamenevskij, B. A.
2
1992
Selfadjoint elliptic problems with radiation conditions on the edges of the boundary. Zbl 0806.35027
Nazarov, S. A.; Plamenevskij, B. A.
2
1992
Algebras of pseudodifferential operators. Transl. from the Russian by R. A. M. Horsbergen. Zbl 0679.47027
Plamenevskij, B. A.
2
1989
On nonlinear bending of a plate with a crack. Zbl 0552.73043
Maz’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 0429.35031
Maz’ya, V. G.; Plamenevskij, B. A.
2
1978
On an algebra of pseudodifferential operators in spaces with weighted norms. Zbl 0414.35079
Plamenevskij, B. A.
2
1978
Über eine Algebra von Pseudodifferentialoperatoren in Räumen mit bewichteten Normen. Zbl 0385.35055
Plamenevskii, B. A.
2
1978
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.
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 1419.81017
Kabardov, M. M.; Plamenevskii, B. A.; Sarafanov, O. V.; Sharkova, N. M.
1
2019
Behavior of waveguide scattering matrices in a neighborhood of thresholds. Zbl 1408.35114
Plamenevskii, B. A.; Poretskii, A. S.
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.
1
2018
Computation of waveguide scattering matrix near thresholds. Zbl 1368.78084
Kabardov, M. M.; Plamenevskii, B. A.; Sharkova, N. M.
1
2017
On computation of waveguide scattering matrices for the Maxwell system. Zbl 1327.35361
Plamenevskii, 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 1304.35665
Baskin, L.; Plamenevskii, B.; Sarafanov, O.
1
2014
The Maxwell system in waveguides with several cylindrical ends. Zbl 1294.35158
Plamenevskiĭ, B. A.; Poretskiĭ, A. S.
1
2014
Elastodynamics in domains with edges. Zbl 1284.35427
Matyukevich, 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 1099.35031
Kalvine, V. O.; Neittaanmäki, Pekka; Plamenevskii, B. A.
1
2004
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
The Neumann problem for the wave equation in a cone. Zbl 0996.35013
Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A.
1
2000
On a class of pseudodifferential operators in \(\mathbb{R}^m\) and on stratified manifolds. Zbl 0961.35188
Plamenevskij, B. A.; Senichkin, V. N.
1
2000
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
Solvable algebras of operators. Zbl 0831.46061
Plamenevskij, B. A.; Senichkin, V. N.
1
1994
Solvable operator algebras. Zbl 0839.46051
Plamenevskij, B. A.; Senichkin, V. N.
1
1994
Representations of \(C^*\)-algebras generated by pseudodifferential operators in weighted spaces. Zbl 0807.35170
Plamenevskij, B. A.; Senichkin, V. N.
1
1993
On the topological properties of algebras of singular integral operators on a contour with discontinuous symbols. Zbl 0773.46035
Plamenevskij, B. A.; Rozenblyum, G. V.
1
1991
On the index of pseudodifferential operators with isolated singularities in the symbols. Zbl 0746.35061
Plamenevskij, B. A.; Rozenblyum, G. V.
1
1990
Spectrum of the algebra of pseudodifferential operators with piecewise smooth symbols. Zbl 0676.46044
Plamenevskij, B. A.; Senichkin, V. N.
1
1989
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
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.
1
1985
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.
1
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
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
On bending of a nearly polygonal plate with freely supported boundary. Zbl 0571.73055
Maz’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 0551.47023
Plamenevskij, 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 0506.76032
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 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
The maximum principle for biharmonic equations in a region with conical points. Zbl 0475.31005
Maz’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 0417.35017
Maz’ya, V. G.; Plamenevskij, B. A.
1
1979
\(L_p\)-Abschätzungen der Lösungen elliptischer Randwertprobleme in Gebieten mit Kanten. Zbl 0441.35028
Maz’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 0423.35021
Maz’ya, V. G.; Plamenevskij, B. A.
1
1978
A correctly posed problem for singular integral equations with vanishing symbols. Zbl 0395.45006
Maz’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 0355.35032
Maz’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 1419.81017
Kabardov, M. M.; Plamenevskii, B. A.; Sarafanov, O. V.; Sharkova, N. M.
1
2019
Behavior of waveguide scattering matrices in a neighborhood of thresholds. Zbl 1408.35114
Plamenevskii, B. A.; Poretskii, A. S.
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.
1
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.
2
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
4
2015
Method for computing waveguide scattering matrices in the vicinity of thresholds. Zbl 1317.47012
Plamenevskiǐ, Boris A.; Poretskiǐ, A. S.; Sarafanov, Oleg V.
2
2015
On computation of waveguide scattering matrices for the Maxwell system. Zbl 1327.35361
Plamenevskii, 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 06383404
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.
1
2014
The Maxwell system in waveguides with several cylindrical ends. Zbl 1294.35158
Plamenevskiĭ, B. A.; Poretskiĭ, A. S.
1
2014
Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Zbl 1313.78034
Baskin, L. M.; Kabardov, M.; Neittaanmäki, P.; Plamenevskii, B. A.; Sarafanov, O. V.
4
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
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.
3
2007
Elastodynamics in domains with edges. Zbl 1284.35427
Matyukevich, 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 1073.35153
Kokotov, A.; Plamenevskiĭ, B.
11
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.
1
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.
7
2003
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.
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 1127.35300
Maz’ya, V.; Nazarov, S.; Plamenevskii, B.
7
2000
The Neumann problem for the wave equation in a cone. Zbl 0996.35013
Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskij, B. A.
1
2000
On a class of pseudodifferential operators in \(\mathbb{R}^m\) and on stratified manifolds. Zbl 0961.35188
Plamenevskij, B. A.; Senichkin, V. N.
1
2000
Diffraction on a cone: the asymptotic of solutions near the vertex. Zbl 1029.35160
Kokotov, A. Yu.; Neittaanmäki, P.; Plamenevskii, B. A.
8
1999
On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. Zbl 0954.35104
Kokotov, A. Yu.; Plamenevskij, B. A.
2
1999
On the Dirichlet problem for the wave equation in a cylinder with edges. Zbl 0910.35018
Plamenevskij, B. A.
2
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.
272
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.
9
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 algebras of operators. Zbl 0831.46061
Plamenevskij, B. A.; Senichkin, V. N.
1
1994
Solvable operator algebras. Zbl 0839.46051
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.
2
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
Elliptic problems with radiation conditions on edges of the boundary. Zbl 0789.35048
Nazarov, S. A.; Plamenevskij, B. A.
4
1992
A generalized Green’s formula for elliptic problems in domains with edges. Zbl 0847.35024
Nazarov, S. A.; Plamenevskij, B. A.
2
1992
Selfadjoint elliptic problems with radiation conditions on the edges of the boundary. Zbl 0806.35027
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.
8
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
14
1989
Algebras of pseudodifferential operators. Transl. from the Russian by R. A. M. Horsbergen. Zbl 0679.47027
Plamenevskij, B. A.
2
1989
Spectrum of the algebra of pseudodifferential operators with piecewise smooth symbols. Zbl 0676.46044
Plamenevskij, B. A.; Senichkin, V. N.
1
1989
Algebras of pseudodifferential operators (Algebry psevdodifferentsial’nykh operatorov). Zbl 0615.47038
Plamenevskij, B. A.
13
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.
23
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.
5
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
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.
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.
49
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.
23
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.
11
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.
9
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.
7
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.
3
1984
Dirichlet problem in domains with thin bridges. Zbl 0553.35018
Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A.
3
1984
On nonlinear bending of a plate with a crack. Zbl 0552.73043
Maz’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 0643.35035
Maz’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 0591.58029
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.
10
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.
4
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
On bending of a nearly polygonal plate with freely supported boundary. Zbl 0571.73055
Maz’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 0551.47023
Plamenevskij, 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 0506.76032
Maz’ya, V. G.; 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.
4
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.
3
1982
About algebras generated by pseudodifferential operators with isolated singularities of the symbols. Zbl 0513.35081
Plamenevskij, B. A.
1
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
Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. Zbl 0462.35001
Maz’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 0491.35013
Maz’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 0473.35019
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.
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.
10
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.
4
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.
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.
67
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
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 an algebra of pseudodifferential operators in spaces with weighted norms. Zbl 0414.35079
Plamenevskij, B. A.
2
1978
Über eine Algebra von Pseudodifferentialoperatoren in Räumen mit bewichteten Normen. Zbl 0385.35055
Plamenevskii, B. A.
2
1978
\(L_p\)-Abschätzungen der Lösungen elliptischer Randwertprobleme in Gebieten mit Kanten. Zbl 0441.35028
Maz’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 0423.35021
Maz’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 0359.35024
Maz’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 0371.35012
Maz’ya, V. G.; Plamenevskij, B. A.
7
1977
Elliptic boundary value problems on manifolds with singularities. Zbl 0453.58022
Maz’ya, V. G.; Plamenevskij, B. A.
4
1977
A correctly posed problem for singular integral equations with vanishing symbols. Zbl 0395.45006
Maz’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 0355.35032
Maz’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 0351.35010
Maz’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 0318.35005
Maz’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 0277.34059
Plamenevskii, B. A.
1
1974
On the asymptotic behavior of solutions of differential equations in Hilbert space. Zbl 0266.34067
Maz’ya, V. G.; Plamenevskij, B. A.
5
1973
...and 5 more Documents
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
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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. Zeitschrift für angewandte Mathematik und Physik
10 Mathematics of Computation
10 Journal of Soviet Mathematics
10 Annals of Global Analysis and Geometry
9 Archive for Rational Mechanics and Analysis
9 Computer Methods in Applied Mechanics and Engineering
9 Functional Analysis and its Applications
9 Doklady Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Functional Analysis
7 Prikladnaya Matematika i Mekhanika
7 Computational Mathematics and Mathematical Physics
6 Advances in Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Zeitschrift für Analysis und ihre Anwendungen
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Applicable Analysis
5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Integral Equations and Operator Theory
5 Transactions of the American Mathematical Society
5 Transactions of the Moscow Mathematical Society
5 Boundary Value Problems
4 Computers & Mathematics with Applications
4 Communications in Mathematical Physics
4 Annales de l’Institut Fourier
4 Mathematische Annalen
4 Quarterly of Applied Mathematics
4 Communications in Partial Differential Equations
4 Journal of Elasticity
4 Abstract and Applied Analysis
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Differential Equations
3 Journal of Computational Physics
3 Lithuanian Mathematical Journal
3 Journal of Geometry and Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Numerical Functional Analysis and Optimization
3 Applied Numerical Mathematics
3 Applications of Mathematics
3 Sbornik: Mathematics
3 Journal of Mathematical Fluid Mechanics
3 Journal of Numerical Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Mathematical Physics
2 Theoretical and Mathematical Physics
2 Wave Motion
2 BIT
2 Bulletin de la Société Mathématique de France
2 International Journal for Numerical Methods in Engineering
2 Proceedings of the American Mathematical Society
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Mathematical and Computer Modelling
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Vestnik St. Petersburg University. Mathematics
2 Potential Analysis
2 Numerical Linear Algebra with Applications
2 Advances in Computational Mathematics
2 Engineering Analysis with Boundary Elements
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Inequalities and Applications
2 Journal of Applied Mechanics and Technical Physics
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Matematicheskie Trudy
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Lobachevskii Journal of Mathematics
2 Communications on Pure and Applied Analysis
2 Multiscale Modeling & Simulation
2 International Journal of Fracture
2 Complex Variables and Elliptic Equations
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Inverse Problems and Imaging
2 Mathematical Modelling of Natural Phenomena
2 Ufimskiĭ Matematicheskiĭ Zhurnal
1 International Journal of Engineering Science
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Soviet Applied Mechanics
...and 60 more Serials
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Cited in 38 Fields

496 Partial differential equations (35-XX)
150 Mechanics of deformable solids (74-XX)
93 Numerical analysis (65-XX)
81 Fluid mechanics (76-XX)
72 Operator theory (47-XX)
55 Optics, electromagnetic theory (78-XX)
45 Functional analysis (46-XX)
44 Global analysis, analysis on manifolds (58-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
21 Quantum theory (81-XX)
20 Ordinary differential equations (34-XX)
19 Integral equations (45-XX)
16 Potential theory (31-XX)
12 Differential geometry (53-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
5 Functions of a complex variable (30-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Approximations and expansions (41-XX)
4 Integral transforms, operational calculus (44-XX)
4 Biology and other natural sciences (92-XX)
3 \(K\)-theory (19-XX)
3 Probability theory and stochastic processes (60-XX)
3 Systems theory; control (93-XX)
2 Real functions (26-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

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