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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 89, Pages 14–53 (Mi znsl3119)  
This article is cited in 2 scientific papers (total in 2 papers)

The focussing problem and spectral function asymptotics of Laplace– Beltrami operator. II

V. M. Babich
Full-text PDF (1848 kB) Citations (2)
Abstract: The subject of the paper is the construction of formal high frequency solution of the source problem in the neighbourhood of a reflecting boundary. The boundary is geodesically concave. It gives the possibility to use diffraction methods by V. A. Fock. and J. B. Keller. The formal solution of the source problem is applied to obtain the asymptotics of spectral function of Laplace–Beltrami operator.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 4, Pages 1288–1322
DOI: https://doi.org/10.1007/BF01085019
Bibliographic databases:
UDC: 534.213
Language: Russian
Citation: V. M. Babich, “The focussing problem and spectral function asymptotics of Laplace– Beltrami operator. II”, Mathematical problems in the theory of wave propagation. Part 10, Zap. Nauchn. Sem. LOMI, 89, "Nauka", Leningrad. Otdel., Leningrad, 1979, 14–53; J. Soviet Math., 19:4 (1982), 1288–1322
Citation in format AMSBIB
\Bibitem{Bab79}
\by V.~M.~Babich
\paper The focussing problem and spectral function asymptotics of Laplace-- Beltrami operator.~II
\inbook Mathematical problems in the theory of wave propagation. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 89
\pages 14--53
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=557195}
\zmath{https://zbmath.org/?q=an:0427.35052|0495.35066}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 4
\pages 1288--1322
\crossref{https://doi.org/10.1007/BF01085019}
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  • https://www.mathnet.ru/eng/znsl/v89/p14
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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