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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 179, Pages 173–178 (Mi znsl4702)  
The splitting of Laplacian operator eigenvalue in the case of ellipse with cuts

D. Ya. Terman
Full-text PDF (315 kB)
Abstract: For the splitting of eigenvalues of the Laplacian operator in the case of Dirichlet boundary problem for ellipse with cuts the exponential asymptotics with the pre-exponent factor in a quasi-classical form is proved. The prove is based on the separation variable method.
English version:
Journal of Soviet Mathematics, 1991, Volume 57, Issue 3, Pages 3176–3180
DOI: https://doi.org/10.1007/BF01098988
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: D. Ya. Terman, “The splitting of Laplacian operator eigenvalue in the case of ellipse with cuts”, Mathematical problems in the theory of wave propagation. Part 19, Zap. Nauchn. Sem. LOMI, 179, "Nauka", Leningrad. Otdel., Leningrad, 1989, 173–178; J. Soviet Math., 57:3 (1991), 3176–3180
Citation in format AMSBIB
\Bibitem{Ter89}
\by D.~Ya.~Terman
\paper The splitting of Laplacian operator eigenvalue in the case of ellipse with cuts
\inbook Mathematical problems in the theory of wave propagation. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 179
\pages 173--178
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4702}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039604}
\zmath{https://zbmath.org/?q=an:0741.35045|0701.35117}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 57
\issue 3
\pages 3176--3180
\crossref{https://doi.org/10.1007/BF01098988}
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