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On the Unique Solvability of an Inverse Problem for Parabolic Equations under a Final Overdetermination Condition

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Abstract

We consider the unique solvability of the inverse problem of determining the right-hand side of a parabolic equation with the leading coefficient depending on time and space variables under a final overdetermination condition. We obtain two types of conditions that are sufficient for the local solvability of the inverse problem and also prove the so-called Fredholm solvability of the inverse problem under study.

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  1. Moscow State Physical Technical Institute (MIFI), Russia

    V. L. Kamynin

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  1. V. L. Kamynin
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Kamynin, V.L. On the Unique Solvability of an Inverse Problem for Parabolic Equations under a Final Overdetermination Condition. Mathematical Notes 73, 202–211 (2003). https://doi.org/10.1023/A:1022107024916

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