Boundary Value Problems
Volume 2006 (2006), Article ID 29286, 18 pages
doi:10.1155/BVP/2006/29286

Parabolic inequalities with nonstandard growths and L1 data

R. Aboulaich,1 B. Achchab,1,2 D. Meskine,1,3 and A. Souissi1,3

1LERMA, École Mohammadia d'Ingénieurs, Université Mahammed V-Agdal, Avenue Ibn Sina, Rabat-Agdal BP 765, Morocco
2Faculté des Sciences Juridiques, Économiques et Sociales, Université Hassan 1er, Settat BP 784, Morocco
3GAN, Département de Mathématiques et d'Informatiques, Faculté des Sciences, Université Mahammed V-Agdal, Avenue Ibn Battouta, Rabat BP 1014, Morocco

Received 25 July 2005; Revised 13 December 2005; Accepted 19 December 2005

Copyright © 2006 R. Aboulaich et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove an existence result for solutions of nonlinear parabolic inequalities with L1 data in Orlicz spaces.