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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 17–24 (Mi znsl5970)  

This article is cited in 3 scientific papers (total in 3 papers)

On a justification of the Huygens's Rule

M. I. Belishev

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (407 kB) Citations (3)
Abstract: The known Huygens's Rule of constructing a wavejfront by the envelopes is proved for the media discribed by parameters nonanalytically depended on coordinates. The Rule is deduced from generalization of the Holmgreen's Uniqueness Theorem recently given by D. Tataru. Bibliography: 14 titles.
Received: 29.03.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2667–2672
DOI: https://doi.org/10.1007/BF02355157
Bibliographic databases:
Document Type: Article
UDC: 517.946+534.1
Language: Russian
Citation: M. I. Belishev, “On a justification of the Huygens's Rule”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 17–24; J. Math. Sci. (New York), 86:3 (1997), 2667–2672
Citation in format AMSBIB
\Bibitem{Bel94}
\by M.~I.~Belishev
\paper On a~justification of the Huygens's Rule
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 17--24
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5970}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492167}
\zmath{https://zbmath.org/?q=an:0929.35073}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2667--2672
\crossref{https://doi.org/10.1007/BF02355157}
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  • https://www.mathnet.ru/eng/znsl/v218/p17
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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