Estimates for solutions to the second boundary value problem for Sobolev type equations in a cylindrical domain
https://doi.org/10.25587/2411-9326-2025-4-44-52
Abstract
We consider the second boundary value problem for a class of Sobolev type equations in a cylindrical domain. This class includes the Sobolev equation and the equation of internal waves. Internal estimates for solutions are established for large t.
Keywords
Supporting agencies: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF–2022–0008).
About the Author
G. V. Demidenko
Sobolev Institute of Mathematics SB RAS
Russian Federation
Russian Federation
Gennadii V. Demidenko
4 Acad. Koptyug Avenue, Novosibirsk 630090
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Review
For citations:
Demidenko G.V. Estimates for solutions to the second boundary value problem for Sobolev type equations in a cylindrical domain. Mathematical notes of NEFU. 2025;32(4):44-52. (In Russ.) https://doi.org/10.25587/2411-9326-2025-4-44-52
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