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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 104, Pages 93–101 (Mi znsl3380)  

The asymptotic of fundamental solution of the Caucny problem for the second order hyperbolic equation with a large parameter

Yu. P. Danilov
Abstract: The asymptotic expansion of fundamental solution of the Caucny problem is constructed for the second order linear hyperbolic equation as the large parameter tends to infinity. It is shown, that this expansion may be differentiated term by term.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 1, Pages 1806–1811
DOI: https://doi.org/10.1007/BF01119362
Bibliographic databases:
UDC: 517.521.7+517.946.4
Language: Russian
Citation: Yu. P. Danilov, “The asymptotic of fundamental solution of the Caucny problem for the second order hyperbolic equation with a large parameter”, Mathematical problems in the theory of wave propagation. Part 11, Zap. Nauchn. Sem. LOMI, 104, "Nauka", Leningrad. Otdel., Leningrad, 1981, 93–101; J. Soviet Math., 20:1 (1982), 1806–1811
Citation in format AMSBIB
\Bibitem{Dan81}
\by Yu.~P.~Danilov
\paper The asymptotic of fundamental solution of the Caucny problem for the second order hyperbolic equation with a~large parameter
\inbook Mathematical problems in the theory of wave propagation. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 104
\pages 93--101
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3380}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=660263}
\zmath{https://zbmath.org/?q=an:0472.35025|0494.35022}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 1
\pages 1806--1811
\crossref{https://doi.org/10.1007/BF01119362}
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