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This article is cited in 4 scientific papers (total in 4 papers)
On some inverse parabolic problems with pointwise overdetermination
Sergey G. Pyatkov, Vladislav A. Baranchuk Yugra State University, Khanty-Mansiysk, Russian Federation
Abstract:
We examine well-posedness questions in the Sobolev spaces of inverse problems of recovering coefficients depending on time in a parabolic system. The overdetermination conditions are values of a solution at some collection of points lying inside the domain and on its boundary. The conditions obtained ensure existence and uniqueness of solutions to these problems in the Sobolev classes.
Keywords:
parabolic system, inverse problem, pointwise overdetermination, convection-diffusion.
Received: 10.03.2021 Received in revised form: 05.04.2021 Accepted: 20.05.2021
Citation:
Sergey G. Pyatkov, Vladislav A. Baranchuk, “On some inverse parabolic problems with pointwise overdetermination”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 463–474
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https://www.mathnet.ru/eng/jsfu931 https://www.mathnet.ru/eng/jsfu/v14/i4/p463
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Abstract page: | 98 | Full-text PDF : | 43 | References: | 14 |
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