Prof. G. Philippin
Département de mathématiques et de statistique
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.