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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 14–20 (Mi znsl3761)  
This article is cited in 1 scientific paper (total in 2 paper)

On a point source of harmonic oscillations in a homogeneous anisotropic elastic medium

V. M. Babich

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (309 kB) Citations (2)
Abstract: A point source of harmonic oscillations in an infinite homogeneous anisotropic elastic space is considered. It is shown that everywhere, except for certain directions, the phase function of the problem solution can be determined by applying the Legendre transform to the characteristic function of the equations. The group velocity of the solution is directed from the point source precisely along the radius. Bibl. 2 titles.
Received: 13.06.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2706–2710
DOI: https://doi.org/10.1007/BF02433985
Bibliographic databases:
Document Type: Article
UDC: 550.344
Language: Russian
Citation: V. M. Babich, “On a point source of harmonic oscillations in a homogeneous anisotropic elastic medium”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 14–20; J. Math. Sci. (New York), 91:2 (1998), 2706–2710
Citation in format AMSBIB
\Bibitem{Bab95}
\by V.~M.~Babich
\paper On a~point source of harmonic oscillations in a~homogeneous anisotropic elastic medium
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 14--20
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3761}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434266}
\zmath{https://zbmath.org/?q=an:0902.73017|0894.73019}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2706--2710
\crossref{https://doi.org/10.1007/BF02433985}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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