Abstract
We consider the inverse problem of determining the time-dependent thermal diffusivity that is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solution of the problem under consideration.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1563–1570, November, 2005.
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Ivanchov, M.I., Saldina, N.V. Inverse problem for the heat equation with degeneration. Ukr Math J 57, 1825–1835 (2005). https://doi.org/10.1007/s11253-006-0032-6
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DOI: https://doi.org/10.1007/s11253-006-0032-6