Prof. G. Philippin

Département de mathématiques et de statistique

Université Laval

Ste-Foy, Québec, G1K 7P4, Canada

## Continuous dependence inequalities for solutions of a class of nonlinear heat equations

Let *u*(*x,t*) be the classical solutions of a class of nonlinear parabolic initial-boundary value problems
defined in *D* x (0,*T*), where *D* is some bounded *N*-dimensional domain.
We shall derive some continuous dependence inequalities for *u*(*x,t*) with respect to the data as for
instance the initial temperature, the initial time, the geometry of *D*.