Nonlinear parabolic inequalities on a general convex domain

B. Achchab (1) , A. Agouzal (2, 3) , Naïma Debit (2) , M. Kbiri Alaoui (4, 5) , A. Soussi (6)

1 LM2CE
2 ICJ - Institut Camille Jordan
3 MMCS - Modélisation mathématique, calcul scientifique
4 LERMA - Laboratoire d'Etudes et Recherche en Mathématiques Appliquées
5 Department of Mathematics
6 GAN

The paper deals with the existence and uniqueness of solutions of some non linear parabolic inequalities in the Orlicz-Sobolev spaces framework.

Domaines: Analyse fonctionnelle [math.FA]; Equations aux dérivées partielles [math.AP]

B. Achchab, A. Agouzal, Naïma Debit, M. Kbiri Alaoui, A. Soussi. Nonlinear parabolic inequalities on a general convex domain. Journal of Mathematical Inequalities, 2010, 4 (2), pp.271-284. ⟨hal-00360256⟩