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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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