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Matematicheskie Trudy, 2023, Volume 26, Number 1, Pages 192–207
DOI: https://doi.org/10.33048/mattrudy.2023.26.110 (Mi mt695) 		 
On a boundary value problem for a pseudohyperbolic equation

V. V. Shemetovaab

a Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/mattrudy.2023.26.110
Abstract: In the present article, we consider a mixed boundary value problem in a quarter-space for a pseudohyperbolic equation. We find conditions on the right-hand side of the equation that guarantee existence of solutions of this problem in Sobolev spaces with exponential weight.
Key words: pseudohyperbolic equation, mixed boundary value problem, anisotropic Sobolev space.
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: 25.05.2023
Revised: 10.06.2023
Accepted: 16.06.2023
English version:
Siberian Advances in Mathematics, 2023, Volume 33, Issue 3, Pages 242–252
DOI: https://doi.org/10.1134/S1055134423030082
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: V. V. Shemetova, “On a boundary value problem for a pseudohyperbolic equation”, Mat. Tr., 26:1 (2023), 192–207; Siberian Adv. Math., 33:3 (2023), 242–252
Citation in format AMSBIB
\Bibitem{She23}
\by V.~V.~Shemetova
\paper On a boundary value problem for a pseudohyperbolic equation
\jour Mat. Tr.
\yr 2023
\vol 26
\issue 1
\pages 192--207
\mathnet{http://mi.mathnet.ru/mt695}
\crossref{https://doi.org/10.33048/mattrudy.2023.26.110}
\elib{https://elibrary.ru/item.asp?id=54901446}
\transl
\jour Siberian Adv. Math.
\yr 2023
\vol 33
\issue 3
\pages 242--252
\crossref{https://doi.org/10.1134/S1055134423030082}
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