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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1999, Volume 6, Number 1/2, Pages 100–123 (Mi jmag404)  
Asymptotic behaviour of Green's function of the first boundary value problem

V. A. Rybalko

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (312 kB)
URL: https://magr.ilt.kharkov.ua/abstract.php?uid=m06-0100r
Abstract: The first boundary value problem for the Helmholtz equation in the domain external to the periodic structure of bodies is considered. The asymptotic behaviour of Green's function of this problem is studied when the period of the structure and the wave length are sufficiently small. It is shown that the structure of bodies can be replaced by the effective potential.
Received: 17.11.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Rybalko, “Asymptotic behaviour of Green's function of the first boundary value problem”, Mat. Fiz. Anal. Geom., 6:1/2 (1999), 100–123
Citation in format AMSBIB
\Bibitem{Ryb99}
\by V.~A.~Rybalko
\paper Asymptotic behaviour of Green's function of the first boundary value problem
\jour Mat. Fiz. Anal. Geom.
\yr 1999
\vol 6
\issue 1/2
\pages 100--123
\mathnet{http://mi.mathnet.ru/jmag404}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1699442}
\zmath{https://zbmath.org/?q=an:1052.35501}
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