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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 128, Pages 48–64 (Mi znsl4238)  
On exact justification of creeping wave solutions

A. B. Zayaev, V. B. Philippov
Full-text PDF (666 kB)
Abstract: In this article the estimation of the difference between the Green function and the formal asymptotic solution in the shadow region is obtained. It is supposed that one of the points of source or observation is placed on the boundary and another one is outside from the boundary. The boundary is supposed to be the smooth convex curve. The case of Dirichlet problem is considered.
Bibliographic databases:
Document Type: Article
UDC: 534.213
Language: Russian
Citation: A. B. Zayaev, V. B. Philippov, “On exact justification of creeping wave solutions”, Mathematical problems in the theory of wave propagation. Part 13, Zap. Nauchn. Sem. LOMI, 128, "Nauka", Leningrad. Otdel., Leningrad, 1983, 48–64
Citation in format AMSBIB
\Bibitem{ZayPhi83}
\by A.~B.~Zayaev, V.~B.~Philippov
\paper On exact justification of creeping wave solutions
\inbook Mathematical problems in the theory of wave propagation. Part~13
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 128
\pages 48--64
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=712301}
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  • https://www.mathnet.ru/eng/znsl/v128/p48
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