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Determination of the Lowest Coefficient for a One-Dimensional Parabolic Equation in a Domain with Free Boundary

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We establish conditions for the unique solvability of the inverse problem of finding the lower coefficient with two unknown time-dependent parameters in a one-dimensional parabolic equation with integral overdetermination conditions in a domain with free boundary.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 11, pp. 1531–1549, November, 2013.

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Snitko, H.A. Determination of the Lowest Coefficient for a One-Dimensional Parabolic Equation in a Domain with Free Boundary. Ukr Math J 65, 1698–1719 (2014). https://doi.org/10.1007/s11253-014-0890-2

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