We establish conditions for the existence and uniqueness of a classical solution of the inverse problem of determination of the time-dependent coefficient of the higher-order derivative in a parabolic equation with degeneration in the coefficient of the time derivative. We impose boundary conditions of the second kind and a nonlocal overdetermination condition. The case of weak degeneration is investigated.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 765–779, June, 2013.
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Huzyk, N.M. Nonlocal Inverse Problem for a Parabolic Equation with Degeneration. Ukr Math J 65, 847–863 (2013). https://doi.org/10.1007/s11253-013-0822-6
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DOI: https://doi.org/10.1007/s11253-013-0822-6