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M. Ivanchov, N. Saldina

An inverse problem for strongly degenerate heat equation

In this paper we consider an inverse problem for determining time-dependent heat conduction coefficient which vanishes at initial moment as a power t^β. The case of strong degeneration (β ≥ 1) is studied. To prove the existence of solution we employ the Schauder fixed point theorem. The uniqueness of the solution is established too.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 14, 08/2006
Pages: 465 - 480

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