International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 46265, 18 pages
doi:10.1155/IJMMS/2006/46265

Parabolic inequalities in L1 as limits of renormalized equations

K. Azelmat,1 M. Kbiri Alaoui,2,3 D. Meskine,2,3 and A. Souissi1

1LMA, GAN, Département de Mathématiques et d'Informatique, Faculté des Sciences, Université Mohammed V Agdal, Avenue Ibn Battouta, Rabat BP 1014, Morocco
2LERMA, Ecole Mohammadia d'Ingénieurs, Université Mohammed V Agdal, Avenue Ibn Sina, Agdal, Rabat BP 765, Morocco
3LMA, GAN, Département de Mathématiques et d'Informatique, Faculté des Sciences, Université Mohammed V Agdal, Avenue Ibn Battouta, Rabat BP 1014, Morocco

Received 21 April 2006; Revised 10 August 2006; Accepted 21 August 2006

Copyright © 2006 K. Azelmat 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

The paper deals with the existence of solutions of some parabolic bilateral problems approximated by the renormalized solutions of some parabolic equations.