An inverse problem for strongly degenerate heat equation

Details An inverse problem for strongly degenerate heat equation An inverse problem for strongly degenerate heat equation

2006-08-19

arxiv.org/abs/math/0608478v1

Journal of Inverse and ill-Posed problem(2006, # 5)

Mathematics

Analysis of PDEs

12 pages

Scientific paper

In this paper we consider an inverse problem for determining time - dependent
heat conduction coefficient which vanishes at initial moment as a power $
t^{\beta}. $ The case of strong degeneration ($ \beta \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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