Existence and uniqueness of solutions for a nonlocal parabolic thermistor-type problem

Abstract

In this paper we prove existence and uniqueness of solutions to a nonlocal parabolic problem which generalizes the electric heating problem of a conducting body.

To be presented at the "13th IFAC Workshop on Control Applications of Optimisation", 26-28 April 2006, Paris - Cachan, France. Accepted (19-12-2005) for the Proceedings, IFAC publication, Elsevier Ltd, Oxford, UK