Existence of a Renormalised Solutions for a Class of Nonlinear Degenerated Parabolic Problems with L1 Data

Youssef Akdim; J. Bennouna; M. Mekkour; Hicham Redwane

doi:10.4208/jpde.v26.n1.6

Existence of a Renormalised Solutions for a Class of Nonlinear Degenerated Parabolic Problems with L1 Data

Authors

Youssef Akdim Laboratory LSI, Faculty Polydisciplinary of Taza. University Sidi Mohamed Ben Abdellah, P. O. Box 1223 Taza Gare, Marocco
J. Bennouna Department of Mathematics, Laboratory LAMA, University of Fez, Faculty of Sciences Dhar El Mahraz, B.P. 1796. Atlas Fez, Morocco
M. Mekkour Department of Mathematics, Laboratory LAMA, University of Fez, Faculty of Sciences Dhar El Mahraz, B.P. 1796. Atlas Fez, Morocco
Hicham Redwane Faculté des Sciences et Techniques Université Hassan 1, B.P. 764. Settat. Morocco

DOI:

https://doi.org/10.4208/jpde.v26.n1.6

Keywords:

Weighted Sobolev spaces;truncations;nonlinear doubling parabolic equation;renormalized solutions

Abstract

We study the existence of renormalized solutions for a class of nonlinear degenerated parabolic problem. The Carathéodory function satisfying the coercivity condition, the growth condition and only the large monotonicity. The data belongs to L^1(Ω).

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Published

2018-08-16

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Issue

Vol. 26 No. 1 (2013)

Section

Articles

How to Cite

Existence of a Renormalised Solutions for a Class of Nonlinear Degenerated Parabolic Problems with L1 Data. (2018). Journal of Partial Differential Equations, 26(1), 76-98. https://doi.org/10.4208/jpde.v26.n1.6