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

Author(s)

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."

Keywords:

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

About this article

Abstract View

43404

Pdf View

2534

DOI

10.4208/jpde.v28.n3.3

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