Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2023, Volume: 274, Number: 4, Pages: 523-533 Pages count : 11 DOI: 10.1007/s10958-023-06617-5 | ||||||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary overdetermination conditions. Based on the very recent results of the first author on nonlocal problems with generalized Samarskii–Ionkin conditions, we establish the solvability of the inverse problems under consideration.
Cite:
Kozhanov A.I.
, Shipina T.N.
Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions
Journal of Mathematical Sciences (United States). 2023. V.274. N4. P.523-533. DOI: 10.1007/s10958-023-06617-5 Scopus РИНЦ OpenAlex
Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions
Journal of Mathematical Sciences (United States). 2023. V.274. N4. P.523-533. DOI: 10.1007/s10958-023-06617-5 Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jun 29, 2023 |
| Published print: | Aug 23, 2023 |
| Published online: | Aug 23, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85168565559 |
| Elibrary: | 62954205 |
| OpenAlex: | W4386092614 |