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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 6, Pages 961–972
DOI: https://doi.org/10.7868/S0044466917060096
(Mi zvmmf10547)
 

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
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582_а
Received: 14.03.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 6, Pages 956–966
DOI: https://doi.org/10.1134/S0965542517060082
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
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
Citation in format AMSBIB
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  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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