Nonlocal problems with an integrally-disturbed A. A. Samarskii condition for third order quasi-parabolic equations
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).
About the Authors
A. I. Kozhanov
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Aleksandr I. Kozhanov
4 Koptyug Avenue, 630090 Novosibirsk
Д. Хромченко
Novosibirsk State University
Russian Federation
Russian Federation
Dmitrii S. Khromchenko
1 Pirogov Street, 630090 Novosibirsk
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Review
For citations:
Kozhanov A.I., Nonlocal problems with an integrally-disturbed A. A. Samarskii condition for third order quasi-parabolic equations. Mathematical notes of NEFU. 2023;30(4):12-23. (In Russ.) https://doi.org/10.25587/2411-9326-2023-4-12-23
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