An inverse problem for strongly degenerate heat equation

Nataliya Saldina

An inverse problem for strongly degenerate heat equation

Analysis of PDEs 2007-05-23 v1 Mathematical Physics math.MP

Authors: Nataliya Saldina

Abstract

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

Keywords

heat equation

Cite

@article{arxiv.math/0608478,
  title  = {An inverse problem for strongly degenerate heat equation},
  author = {Nataliya Saldina},
  journal= {arXiv preprint arXiv:math/0608478},
  year   = {2007}
}

Comments

12 pages

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