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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 56–66 (Mi znsl5973)  
Justification of the construction of the solution of a problem on a point source of $SH$ waves in a layered media with a vertical boundary

S. A. Kochengin

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (419 kB)
Abstract: The solution was found by the separation of variables method. Justification is made by using suitable space of generalized functions. Boundary conditions “are hid” in the space. Bibliography: 5 titles.
Received: 15.04.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2694–2701
DOI: https://doi.org/10.1007/BF02355160
Bibliographic databases:
Document Type: Article
UDC: 534.2+539.3
Language: Russian
Citation: S. A. Kochengin, “Justification of the construction of the solution of a problem on a point source of $SH$ waves in a layered media with a vertical boundary”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 56–66; J. Math. Sci. (New York), 86:3 (1997), 2694–2701
Citation in format AMSBIB
\Bibitem{Koc94}
\by S.~A.~Kochengin
\paper Justification of the construction of the solution of a~problem on a~point source of $SH$ waves in a~layered media with a~vertical boundary
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 56--66
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5973}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492170}
\zmath{https://zbmath.org/?q=an:1071.74599}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2694--2701
\crossref{https://doi.org/10.1007/BF02355160}
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