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Solvability of the Inverse Problem of Finding Thermal Conductivity |
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| Authors: | A I Kozhanov |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
| 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. |
| Keywords: | heat equation in divergent form problem with unknown thermal conductivity final overdetermination condition regular solution |
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