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This article is cited in 14 scientific papers (total in 14 papers)
Second term of the spectral asymptotic expansion of the Laplace–Beltrami operator on manifolds with boundary
V. Ya. Ivrii
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Functional Analysis and Its Applications, 1980, 14:2, 98–106
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UDC:
517.944
Received: 15.11.1979
Citation:
V. Ya. Ivrii, “Second term of the spectral asymptotic expansion of the Laplace–Beltrami operator on manifolds with boundary”, Funktsional. Anal. i Prilozhen., 14:2 (1980), 25–34; Funct. Anal. Appl., 14:2 (1980), 98–106
Citation in format AMSBIB
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\by V.~Ya.~Ivrii
\paper Second term of the spectral asymptotic expansion of the Laplace--Beltrami operator on manifolds with boundary
\jour Funktsional. Anal. i Prilozhen.
\yr 1980
\vol 14
\issue 2
\pages 25--34
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=575202}
\zmath{https://zbmath.org/?q=an:0435.35059|0453.35068}
\transl
\jour Funct. Anal. Appl.
\yr 1980
\vol 14
\issue 2
\pages 98--106
\crossref{https://doi.org/10.1007/BF01086550}
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This publication is cited in the following articles:
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V. Ya. Ivrii, “Exact spectral asymptotics for the Laplace–Beltrami operator in the case of general elliptic boundary conditions”, Funct. Anal. Appl., 15:1 (1981), 59–60
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V. F. Lazutkin, D. Ya. Terman, “Estimation of the remainder in the Weyl formula”, Funct. Anal. Appl., 15:4 (1981), 299–300
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D. A. Leites, “Irreducible representations of Lie superalgebras of vector fields and invariant differential operators”, Funct. Anal. Appl., 16:1 (1982), 62–64
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V. Ya. Ivrii, “Accurate spectral asymptotics for elliptic operators that act in vector bundles”, Funct. Anal. Appl., 16:2 (1982), 101–108
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V. P. Maslov, “Non-standard characteristics in asymptotic problems”, Russian Math. Surveys, 38:6 (1983), 1–42
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V. Ya. Ivrii, “Asymptotics of a spectral problem connected with the Laplace–Beltrami operator on a manifold with boundary”, Funct. Anal. Appl., 17:1 (1983), 56–57
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V. Ya. Ivrii, S. I. Fedorova, “Dilatation and the asymptotics of the eigenvalues of spectral problems with singularities”, Funct. Anal. Appl., 20:4 (1986), 277–281
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Yu. G. Safarov, “Tochnaya asimptotika spektra kraevoi zadachi i periodicheskie billiardy”, Izv. AN SSSR. Ser. matem., 52:6 (1988), 1230–1251 ; Yu. G. Safarov, “Exact asymptotics of the spectrum of a boundary value problem, and periodic billiards”, Math. USSR-Izv., 33:3 (1989), 553–573
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T. E. Gureev, “Exact asymptotics of the spectrum of the Maxwell operator in a solid resonator”, Funct. Anal. Appl., 24:3 (1990), 235–237
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Yu. G. Safarov, N. D. Filonov, “Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions”, Funct. Anal. Appl., 44:4 (2010), 286–294
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E. A. Gutkin, “Dinamika billiarda: obzornaya statya s aktsentom na nereshennye zadachi”, Nelineinaya dinam., 7:3 (2011), 489–512
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Miyazaki Y., “Asymptotic behavior of normal derivatives of eigenfunctions for the Dirichlet Laplacian”, J Math Anal Appl, 388:1 (2012), 205–218
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Glutsyuk A. Kudryashov Yu., “No Planar Billiard Possesses an Open Set of Quadrilateral Trajectories”, J. Mod. Dyn., 6:3 (2012), 287–326
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Alexey Glutsyuk, “On quadrilateral orbits in complex algebraic planar billiards”, Mosc. Math. J., 14:2 (2014), 239–289
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