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

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Applicationes Mathematicae / All issues

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

Volume 41 / 2014

Kaouther Ammar, Jaouad Bennouna, Hicham Redwane Applicationes Mathematicae 41 (2014), 141-148 MSC: Primary 47A15; Secondary 46A32, 47D20. DOI: 10.4064/am41-2-2

Abstract

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

Authors

Kaouther AmmarDepartment of Mathematics
Faculty of Sciences
Taibah University
344 Al Madinah Al Munawara, Saudi Arabia
e-mail
Jaouad BennounaLaboratoire LAMA
Faculté des Sciences Dhar-Mahraz
Département de Mathématiques
Université Sidi Mohamed Ben Abdellah
B.P. 1796 Atlas
Fès, Morocco
e-mail
Hicham RedwaneFaculté des Sciences Juridiques,
Économiques et Sociales
Université Hassan 1
B.P. 764, Settat, Morocco
e-mail

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