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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 2, Pages 252–271
DOI: https://doi.org/10.33048/smzh.2022.63.202 (Mi smj7656) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On some classes of inverse problems of recovering the heat transfer coefficient in stratified media

V. A. Belonogova, S. G. Pyatkovabc

a Yugra State University, Khanty-Mansiysk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Academy of Science of the Republic of Sakha (Yakutia)
Full-text PDF (437 kB) Citations (8)
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DOI: https://doi.org/10.33048/smzh.2022.63.202
Abstract: We consider the well-posedness, in Sobolev spaces, of the inverse problem of recovering the heat transfer coefficient at the interface in the transmission condition of the imperfect contact type. The existence and uniqueness theorem are exhibited. The method is constructive and the approach allows us to develop some numerical methods for solving the problem. The proof relies on a priori estimates and the fixed-point theorem.
Keywords: inverse problem, transmission problem, heat transfer coefficient, parabolic equation, heat and mass transfer.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008).
Received: 06.07.2021
Revised: 07.01.2022
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 2, Pages 206–223
DOI: https://doi.org/10.1134/S0037446622020021
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: V. A. Belonogov, S. G. Pyatkov, “On some classes of inverse problems of recovering the heat transfer coefficient in stratified media”, Sibirsk. Mat. Zh., 63:2 (2022), 252–271; Siberian Math. J., 63:2 (2022), 206–223
Citation in format AMSBIB
\Bibitem{BelPya22}
\by V.~A.~Belonogov, S.~G.~Pyatkov
\paper On some classes of inverse problems of recovering the heat transfer coefficient in stratified media
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 2
\pages 252--271
\mathnet{http://mi.mathnet.ru/smj7656}
\crossref{https://doi.org/10.33048/smzh.2022.63.202}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 2
\pages 206--223
\crossref{https://doi.org/10.1134/S0037446622020021}
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