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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 89, Pages 112–119 (Mi znsl3126)  
This article is cited in 4 scientific papers (total in 4 papers)

On uniform asymptotic expansions of whispering gallery eigenfunctions

N. Ya. Kirpichnikova
Full-text PDF (369 kB) Citations (4)
Abstract: An asymptotic method of uniform expansions in connection with the problem determination of eigenfunctlons of the Laplace operator is illustrated. Constructed eigenfunctions satisfy to Dirichlet and Neumann conditions and concentrate in a vicinity of the boundary.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 4, Pages 1366–1372
DOI: https://doi.org/10.1007/BF01085026
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: N. Ya. Kirpichnikova, “On uniform asymptotic expansions of whispering gallery eigenfunctions”, Mathematical problems in the theory of wave propagation. Part 10, Zap. Nauchn. Sem. LOMI, 89, "Nauka", Leningrad. Otdel., Leningrad, 1979, 112–119; J. Soviet Math., 19:4 (1982), 1366–1372
Citation in format AMSBIB
\Bibitem{Kir79}
\by N.~Ya.~Kirpichnikova
\paper On uniform asymptotic expansions of whispering gallery eigenfunctions
\inbook Mathematical problems in the theory of wave propagation. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 89
\pages 112--119
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=557202}
\zmath{https://zbmath.org/?q=an:0427.35048|0495.35067}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 4
\pages 1366--1372
\crossref{https://doi.org/10.1007/BF01085026}
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  • https://www.mathnet.ru/eng/znsl/v89/p112
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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