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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 122–144 (Mi znsl1053)  
This article is cited in 15 scientific papers (total in 15 papers)

Difraction on a cone: the asymptotics of the solutions near the vertex

A. Yu. Kokotova, P. Neittaanmäkib, B. A. Plamenevskiic

a St. Petersburg State University of Telecommunications
b University of Jyväskylä
c St. Petersburg State University, Faculty of Physics
Full-text PDF (292 kB) Citations (15)
Abstract: The mixed problem for the wave equation in a cone $K\subset\mathbb R^n$ is considered. We obtain the asymptotic formulas for the solutions and the Green function near the vertex of the $K$. The properties of the coefficients in the asymptotics connected with the finiteness of the propagation speed are clarified.
Received: 10.06.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1894–1910
DOI: https://doi.org/10.1023/A:1014492224655
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. Yu. Kokotov, P. Neittaanmäki, B. A. Plamenevskii, “Difraction on a cone: the asymptotics of the solutions near the vertex”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 122–144; J. Math. Sci. (New York), 109:5 (2002), 1894–1910
Citation in format AMSBIB
\Bibitem{KokNeiPla99}
\by A.~Yu.~Kokotov, P.~Neittaanm\"aki, B.~A.~Plamenevskii
\paper Difraction on a cone: the asymptotics of the solutions near the vertex
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 259
\pages 122--144
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754360}
\zmath{https://zbmath.org/?q=an:1029.35160}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1894--1910
\crossref{https://doi.org/10.1023/A:1014492224655}
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  • https://www.mathnet.ru/eng/znsl/v259/p122
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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