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An inverse problem for strongly degenerate heat equation

Nataliya Saldina
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Abstract

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\ge1$) is studied. To prove the existence of solution we employ the Schauder fixed point theorem. The uniqueness of the solution is established too.

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Nataliya Saldina. 2006-08-19. An inverse problem for strongly degenerate heat equation. https://arxiv.org/abs/math/0608478

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