We establish the conditions of unique solvability of the inverse problem of finding the minor coefficient of a two-dimensional parabolic equation in the domain for which the location of a part of its boundary is described by a function in the form of a product of an unknown function of time and a given function of the space variable.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 7, pp. 972–982, July, 2016.
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Snitko, H.A. Inverse Coefficient Problem for a Two-Dimensional Parabolic Equation in a Domain with Free Boundary. Ukr Math J 68, 1108–1120 (2016). https://doi.org/10.1007/s11253-016-1281-7
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DOI: https://doi.org/10.1007/s11253-016-1281-7