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On the unsolvability of the boundary inverse problem of heat conduction

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Abstract

It is shown that the boundary inverse nonstationary problem of heat conduction with given heat flux and temperature on one of the boundary surfaces is essentially ill-posed, since it has no solution in the class of continuous functions.

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Authors
  1. V. M. Vigak
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 114–118.

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Vigak, V.M. On the unsolvability of the boundary inverse problem of heat conduction. J Math Sci 67, 2925–2929 (1993). https://doi.org/10.1007/BF01095870

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  • DOI: https://doi.org/10.1007/BF01095870

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