Existence and uniqueness result for a class
 of nonlinear parabolic equations with $L^{1}$ data

Kaouther Ammar; Jaouad Bennouna; Hicham Redwane

doi:10.4064/am41-2-2

Geodesic

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Existence and uniqueness result for a class of nonlinear parabolic equations with $L^{1}$ data

Kaouther Ammar ¹ ; Jaouad Bennouna ² ; Hicham Redwane ³

¹ Department of Mathematics Faculty of Sciences Taibah University 344 Al Madinah Al Munawara, Saudi Arabia
² Laboratoire LAMA Faculté des Sciences Dhar-Mahraz Département de Mathématiques Université Sidi Mohamed Ben Abdellah B.P. 1796 Atlas Fès, Morocco
³ Faculté des Sciences Juridiques, Économiques et Sociales Université Hassan 1 B.P. 764, Settat, Morocco

Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 141-148.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.

DOI : 10.4064/am41-2-2

Keywords: prove existence uniqueness renormalized solution class nonlinear parabolic equations growth assumption nonlinearities

Affiliations des auteurs :

Kaouther Ammar ¹ ; Jaouad Bennouna ² ; Hicham Redwane ³

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Kaouther Ammar; Jaouad Bennouna; Hicham Redwane. Existence and uniqueness result for a class
 of nonlinear parabolic equations with $L^{1}$ data. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 141-148. doi : 10.4064/am41-2-2. http://geodesic.mathdoc.fr/articles/10.4064/am41-2-2/

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