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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2023, Volume 8, Issue 4, Pages 469–482
DOI: https://doi.org/10.47475/2500-0101-2023-8-4-469-482 (Mi chfmj343) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Boundary value problem in a cylinder for a pseudohyperbolic equation

L. N. Bondar'ab, G. V. Demidenkoab, V. S. Nurmakhmatovb

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.47475/2500-0101-2023-8-4-469-482
Abstract: The paper considers the first boundary value problem in a cylinder for a pseudohyperbolic equation with variable coefficients. A theorem on the existence of a unique generalized solution of a boundary value problem in a Sobolev space is proved. Estimates for the solution are obtained.
Keywords: generalized solution, pseudohyperbolic equation, Sobolev spaces, Galerkin method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008).
Received: 15.08.2023
Revised: 24.09.2023
Document Type: Article
UDC: 517.922
Language: Russian
Citation: L. N. Bondar', G. V. Demidenko, V. S. Nurmakhmatov, “Boundary value problem in a cylinder for a pseudohyperbolic equation”, Chelyab. Fiz.-Mat. Zh., 8:4 (2023), 469–482
Citation in format AMSBIB
\Bibitem{BonDemNur23}
\by L.~N.~Bondar', G.~V.~Demidenko, V.~S.~Nurmakhmatov
\paper Boundary value problem in a cylinder for a pseudohyperbolic equation
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2023
\vol 8
\issue 4
\pages 469--482
\mathnet{http://mi.mathnet.ru/chfmj343}
\crossref{https://doi.org/10.47475/2500-0101-2023-8-4-469-482}
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    • This publication is cited in the following 1 articles:
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