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.