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Parabolic equations with unknown time-dependent coefficients

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. I. Kozhanov

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  1. A. I. Kozhanov
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Correspondence to A. I. Kozhanov.

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Original Russian Text © A.I. Kozhanov, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 6, pp. 961–972.

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Kozhanov, A.I. Parabolic equations with unknown time-dependent coefficients. Comput. Math. and Math. Phys. 57, 956–966 (2017). https://doi.org/10.1134/S0965542517060082

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  • DOI: https://doi.org/10.1134/S0965542517060082

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