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Solvability of the Inverse Problem of Finding Thermal Conductivity

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Abstract

We study the inverse problem of finding the coefficient of thermal conductivity of the heat equation (along with the solution). As the overdetermination condition we take the values of the solution at the final time. Existence of a regular solution is proven.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. I. Kozhanov

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  1. A. I. Kozhanov
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Original Russian Text Copyright © 2005 Kozhanov A. I.

The author was supported by the Russian Foundation for Basic Research (Grant 03-01-00819).

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Translated from Sibirskii Matematicheskii Zhurnal Vol. 46, No. 5, pp. 1053–1071, September–October, 2005.

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Kozhanov, A.I. Solvability of the Inverse Problem of Finding Thermal Conductivity. Sib Math J 46, 841–856 (2005). https://doi.org/10.1007/s11202-005-0082-2

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  • DOI: https://doi.org/10.1007/s11202-005-0082-2

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