We consider an inverse problem of determination of the time-dependent leading coefficient of a two-dimensional heat-conduction equation with nonlocal overdetermination condition. The existence and uniqueness conditions are established for the classical solution of the analyzed problem.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 59, No. 2, pp. 67–76, April–June, 2016.
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Kinash, N.Y. A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation. J Math Sci 231, 558–571 (2018). https://doi.org/10.1007/s10958-018-3834-9
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DOI: https://doi.org/10.1007/s10958-018-3834-9