Inverse Probleme für die Wärmeleitungsgleichung

Abstract

A summary is given of the results obtained in the past years for the unique determination of the heat conductivity in the heat equation where the cases of a constant, a space dependent, a time dependent heat conductivity and the quasilinear case, i.e. the heat conductivity is a function of the temperature are considered. Moreover a simple proof is given for the validity of the maximum principle in the quasilinear case.