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Matematicheskie Trudy, 2021, Volume 24, Number 2, Pages 3–23
DOI: https://doi.org/10.33048/mattrudy.2021.24.201 (Mi mt647) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Boundary value problems for one pseudohyperbolic equation in a quarter plane

L. N. Bondar', G. V. Demidenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/mattrudy.2021.24.201
Abstract: We consider general boundary value problems for one pseudohyperbolic equation in a quarter plane. We assume that the boundary value problems satisfy the Lopatinskii condition. We prove theorems on unique solvability in an anisotropic Sobolev space and establish some estimates for solutions.
Key words: pseudohyperbolic equation, boundary value problems, Lopatinskii condition, anisotropic Sobolev space.
Received: 29.08.2021
Revised: 29.08.2021
Accepted: 30.08.2021
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: L. N. Bondar', G. V. Demidenko, “Boundary value problems for one pseudohyperbolic equation in a quarter plane”, Mat. Tr., 24:2 (2021), 3–23
Citation in format AMSBIB
\Bibitem{BonDem21}
\by L.~N.~Bondar', G.~V.~Demidenko
\paper Boundary value problems for one pseudohyperbolic equation in a quarter plane
\jour Mat. Tr.
\yr 2021
\vol 24
\issue 2
\pages 3--23
\mathnet{http://mi.mathnet.ru/mt647}
\crossref{https://doi.org/10.33048/mattrudy.2021.24.201}
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    • This publication is cited in the following 4 articles:
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