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Dal'nevostochnyi Matematicheskii Zhurnal, 2014, Volume 14, Number 1, Pages 48–65 (Mi dvmg272)  
This article is cited in 5 scientific papers (total in 5 papers)

The Dirichlet problem for a class of composite type equations with a discontinuous coefficient of the highest derivative

A. I. Kozhanova, S. V. Potapovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b North-Eastern Federal University named after M. K. Ammosov
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Abstract: This paper investigates the solvability of the Dirichlet problem in classes of regular or almost regular solutions of composite type equations with a discontinuous alternating in sign coefficient. The existence and uniqueness theorems are proved by regularization and continuation methods.
Key words: composite type equations with a discontinuous coefficient, regular solvability.
Received: 21.10.2013
Document Type: Article
UDC: 517.95
MSC: Primary 35B65; Secondary 35H10
Language: Russian
Citation: A. I. Kozhanov, S. V. Potapova, “The Dirichlet problem for a class of composite type equations with a discontinuous coefficient of the highest derivative”, Dal'nevost. Mat. Zh., 14:1 (2014), 48–65
Citation in format AMSBIB
\Bibitem{KozPot14}
\by A.~I.~Kozhanov, S.~V.~Potapova
\paper The Dirichlet problem for a class of composite type equations with a discontinuous coefficient of the highest
derivative
\jour Dal'nevost. Mat. Zh.
\yr 2014
\vol 14
\issue 1
\pages 48--65
\mathnet{http://mi.mathnet.ru/dvmg272}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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