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Matematicheskie Trudy, 2022, Volume 25, Number 2, Pages 3–30
DOI: https://doi.org/10.33048/mattrudy.2022.25.201 (Mi mt667) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On boundary value problems in a quarter-plane for a pseudohyperbolic equation

L. N. Bondar', V. V. Shemetova

Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.33048/mattrudy.2022.25.201
Abstract: We consider a mixed boundary value problem in a quarter-plane for a pseudohyperbolic equation and assume that the Lopatinskiĭ condition is satisfied. 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: Sobolev type equation, pseudohyperbbolic equation, boundary value problem, anisotropic Sobolev space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
075-15-2022-281
The study of the first author was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, SB RAS (project FWNF-2022-0008). The study of the second author was partially supported by the Mathematical Center in Akademgorodok (agreement 075-15-2022-281 with the Russian Ministry of Science and Higher Education).
Received: 19.08.2022
Revised: 12.09.2022
Accepted: 02.11.2022
English version:
Siberian Advances in Mathematics, 2023, Volume 33, Issue 2, Pages 87–106
DOI: https://doi.org/10.1134/S1055134423020013
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: L. N. Bondar', V. V. Shemetova, “On boundary value problems in a quarter-plane for a pseudohyperbolic equation”, Mat. Tr., 25:2 (2022), 3–30; Siberian Adv. Math., 33:2 (2023), 87–106
Citation in format AMSBIB
\Bibitem{BonShe22}
\by L.~N.~Bondar', V.~V.~Shemetova
\paper On boundary value problems in a quarter-plane for a pseudohyperbolic equation
\jour Mat. Tr.
\yr 2022
\vol 25
\issue 2
\pages 3--30
\mathnet{http://mi.mathnet.ru/mt667}
\crossref{https://doi.org/10.33048/mattrudy.2022.25.201}
\transl
\jour Siberian Adv. Math.
\yr 2023
\vol 33
\issue 2
\pages 87--106
\crossref{https://doi.org/10.1134/S1055134423020013}
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