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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 41–51 (Mi znsl3764)  
This article is cited in 2 scientific papers (total in 2 papers)

Solutions of the membrane equation concentrated near extremal loops

A. S. Golubeva

Saint-Petersburg State University
Full-text PDF (458 kB) Citations (2)
Abstract: Formal asymptotic solutions of the equation $\Delta^2u-\frac{\omega^4u}{c^4(x,y)}=0$ concentrated in the vicinity of an extremal loop with $N$ vertices are constructed by applying the complex version of the ray method. Bibl. 5 titles.
Received: 14.09.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2725–2732
DOI: https://doi.org/10.1007/BF02433988
Bibliographic databases:
Document Type: Article
UDC: 534.213
Language: Russian
Citation: A. S. Golubeva, “Solutions of the membrane equation concentrated near extremal loops”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 41–51; J. Math. Sci. (New York), 91:2 (1998), 2725–2732
Citation in format AMSBIB
\Bibitem{Gol95}
\by A.~S.~Golubeva
\paper Solutions of the membrane equation concentrated near extremal loops
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 41--51
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3764}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434269}
\zmath{https://zbmath.org/?q=an:0900.35115}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2725--2732
\crossref{https://doi.org/10.1007/BF02433988}
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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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