We prove a Liouville Theorem for a vector valued semilinear heat
equation with no gradient structure. Classical tools such as the
maximum principle or energy techniques break down and have to be
replaced by a new approach. We then derive from this theorem uniform estimates for blow-up solutions of that equation.
CERMICS, École Nationale des Ponts et Chaussées
6 et 8 avenue Blaise Pascal
Cité Descartes - Champs sur Marne
77455 Marne la Vallée Cédex 2
Tél : 01 64 15 36 63
Fax : 01 64 15 35 86
Plan
d'accès
ce site est répértorié par
![ACM](../images/acm.gif)