2019
Том 71
№ 11

# Inverse problem for the strongly degenerate heat equation in a domain with free boundary

Abstract

In a domain with free boundary, we establish conditions for the existence and uniqueness of a solution of the inverse problem of finding the time-dependent coefficient of heat conductivity. We study the case of strong degeneration where the unknown coefficient tends to zero as $t → +0$ as a power function $t^{β}$, where $β ≥ 1$.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 1, pp 30-49.

Citation Example: Hryntsiv N. M., Ivanchov N. I. Inverse problem for the strongly degenerate heat equation in a domain with free boundary // Ukr. Mat. Zh. - 2009. - 61, № 1. - pp. 28-43.

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