We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary overdetermination conditions. Based on the very recent results of the first author on nonlocal problems with generalized Samarskii–Ionkin conditions, we establish the solvability of the inverse problems under consideration.
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Kozhanov, A.I., Shipina, T.N. Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions. J Math Sci 274, 523–533 (2023). https://doi.org/10.1007/s10958-023-06617-5
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DOI: https://doi.org/10.1007/s10958-023-06617-5