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Mathematical notes of NEFU, 2023, Volume 30, Issue 4, Pages 12–23
DOI: https://doi.org/10.25587/2411-9326-2023-4-12-23 (Mi svfu397) 		 
Mathematics

Nonlocal problems with an integrally-disturbed A. A. Samarskii condition for third order quasi-parabolic equations

A. I. Kozhanova, D. S. Khromchenkob

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (242 kB)
DOI: https://doi.org/10.25587/2411-9326-2023-4-12-23
Abstract: We study the solvability in anisotropic Sobolev spaces of nonlocal boundary problems for the third order quasi-parabolic equations with an integrally-disturbed Samarskii condition. A uniqueness and existence theorem is proved for regular solutions (i. e. the solutions that have all generalized derivatives that were used in equation).
Keywords: quasi-parabolic equations, nonlocal problems, Samarsky condition, regular solution, existence, uniqueness.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF–2022–0008
Received: 01.11.2023
Accepted: 30.11.2023
Document Type: Article
UDC: 519.95
Language: Russian
Citation: A. I. Kozhanov, D. S. Khromchenko, “Nonlocal problems with an integrally-disturbed A. A. Samarskii condition for third order quasi-parabolic equations”, Mathematical notes of NEFU, 30:4 (2023), 12–23
Citation in format AMSBIB
\Bibitem{KozKhr23}
\by A.~I.~Kozhanov, D.~S.~Khromchenko
\paper Nonlocal problems with an integrally-disturbed A. A. Samarskii condition for third order quasi-parabolic equations
\jour Mathematical notes of NEFU
\yr 2023
\vol 30
\issue 4
\pages 12--23
\mathnet{http://mi.mathnet.ru/svfu397}
\crossref{https://doi.org/10.25587/2411-9326-2023-4-12-23}
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