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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On solvability of inverse problems of determining point sources
S. G. Pyatkov, L. V. Neustroeva Yugra State University, Khanty-Mansiysk
Abstract:
We examine the questions of solvability, uniqueness, and some qualitative properties of solutions to inverse problems of determining point sources (the right-hand side of a special form) in a parabolic equation. We describe the classes of data for which the problem has a solution, present some existence and uniqueness results with data in these classes, and also some asymptotic representations of the Green function of the stationary problem.
Keywords:
parabolic equation, inverse problem, initial-boundary value problem, well-posedness, existence, uniqueness.
Received: 22.12.2021 Accepted: 31.05.2022
Citation:
S. G. Pyatkov, L. V. Neustroeva, “On solvability of inverse problems of determining point sources”, Mathematical notes of NEFU, 29:2 (2022), 43–58
Linking options:
https://www.mathnet.ru/eng/svfu349 https://www.mathnet.ru/eng/svfu/v29/i2/p43
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Abstract page: | 47 | Full-text PDF : | 22 |
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