An inverse problem for strongly degenerate heat equation
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2006
 DOI:
 10.48550/arXiv.math/0608478
 arXiv:
 arXiv:math/0608478
 Bibcode:
 2006math......8478S
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematics  Mathematical Physics;
 Mathematical Physics;
 35R30;
 35K65
 EPrint:
 12 pages