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.

About the authors

A. I. Kozhanov

Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, Novosibirsk, 630090

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