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This article is cited in 21 scientific papers (total in 21 papers)
Parabolic equations with unknown time-dependent coefficients
A. I. Kozhanov Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Abstract:
The solvability of inverse problems of finding the coefficients of a parabolic equation together with solving this equation is studied. In these problems, certain additional conditions on the boundary are used as overdetermination conditions. Existence and uniqueness theorems for regular solutions of such problems are proven.
Key words:
parabolic equations, nonlinear inverse problems, unknown coefficients, boundary overdetermination, regular solutions, existence, uniqueness.
Received: 14.03.2016
Citation:
A. I. Kozhanov, “Parabolic equations with unknown time-dependent coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017), 961–972; Comput. Math. Math. Phys., 57:6 (2017), 956–966
Linking options:
https://www.mathnet.ru/eng/zvmmf10547 https://www.mathnet.ru/eng/zvmmf/v57/i6/p961
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Abstract page: | 557 | Full-text PDF : | 126 | References: | 90 | First page: | 86 |
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