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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 128, Pages 139–148 (Mi znsl4247)  
On the Green function of a slightly heterogeneous waveguide

N. A. Razumovskii
Full-text PDF (495 kB)
Abstract: The uniform asymptotic expansion on powers of a small parameter $\varepsilon$ for a solution of the problem is $[\Delta+k^2(\varepsilon x, y)]u(x, y)=\delta(x-x_0)\delta(y-y_0)$, $u(x, 0)=u(x, H)=0$ obtained.
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: Russian
Citation: N. A. Razumovskii, “On the Green function of a slightly heterogeneous waveguide”, Mathematical problems in the theory of wave propagation. Part 13, Zap. Nauchn. Sem. LOMI, 128, "Nauka", Leningrad. Otdel., Leningrad, 1983, 139–148
Citation in format AMSBIB
\Bibitem{Raz83}
\by N.~A.~Razumovskii
\paper On the Green function of a slightly heterogeneous waveguide
\inbook Mathematical problems in the theory of wave propagation. Part~13
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 128
\pages 139--148
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=712310}
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  • https://www.mathnet.ru/eng/znsl/v128/p139
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