Blow-up for semi-linear parabolic problems with non-constant coefficients

Michèle Grillot (1) , Alice Simon (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

In this paper we study the solutions of some semi-linear parabolic problems with non constant coecients. We prove the existence of solutions which blow up at a finite time, and give the behavior near a point of blow-up.

Mots clés: Paraboliques; semi-lineaires

Domaines: Equations aux dérivées partielles [math.AP]

Michèle Grillot, Alice Simon. Blow-up for semi-linear parabolic problems with non-constant coefficients. Differential and integral equations, 2004, vol 17, pp.227-240. ⟨hal-00082593⟩