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Trudy Instituta Matematiki, 2016, Volume 24, Number 1, Pages 38–46 (Mi timb257)  
Generalized solutions of boundary value problems for the Helmholtz equation

V. I. Korzyukabc, G. Ch. Shushkevichacb

a Institute of Mathematics of the National Academy of Sciences of Belarus
b Belarusian State University
c Yanka Kupala State University of Grodno
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Abstract: We prove the existence of generalized solutions of boundary value problems for the Helmholtz equation in Sobolev space. Averaging operators with variable step used in the proof.
Received: 12.01.2016
Document Type: Article
UDC: 519.8
Language: Russian
Citation: V. I. Korzyuk, G. Ch. Shushkevich, “Generalized solutions of boundary value problems for the Helmholtz equation”, Tr. Inst. Mat., 24:1 (2016), 38–46
Citation in format AMSBIB
\Bibitem{KorShu16}
\by V.~I.~Korzyuk, G.~Ch.~Shushkevich
\paper Generalized solutions of boundary value problems for the Helmholtz equation
\jour Tr. Inst. Mat.
\yr 2016
\vol 24
\issue 1
\pages 38--46
\mathnet{http://mi.mathnet.ru/timb257}
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