Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space

Youssef Akdim; Chakir Allalou; El gorch Nezha

doi:10.4208/jpde.v28.n3.3

Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space

Authors

Youssef Akdim Laboratory LSI, Faculty Polydisciplinary of Taza. University Sidi Mohamed Ben Abdellah, P. O. Box 1223 Taza Gare, Marocco
Chakir Allalou Laboratoir LSI, Facult\u00b4e polydisciplinaire, Taza Gare B. P. 1223, Taza Maroc
El gorch Nezha Laboratory LSI, Faculty Polydisciplinary of Taza. University Sidi Mohamed Ben Abdellah, P. O. Box 1223 Taza Gare, Marocco

DOI:

https://doi.org/10.4208/jpde.v28.n3.3

Keywords:

Weighted variable exponent Lebesgue Sobolev space;Young's inequality;renormalized solution;parabolic problems

Abstract

" This article is devoted to study the existence of renormalized solutions for the nonlinear p(x)-parabolic problemin the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity condition."

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Published

2015-09-05

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Issue

Vol. 28 No. 3 (2015)

Section

Articles

How to Cite

Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space. (2015). Journal of Partial Differential Equations, 28(3), 225-252. https://doi.org/10.4208/jpde.v28.n3.3