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

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

Year:    2015

Author:    Youssef Akdim, Chakir Allalou, El gorch Nezha

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 225–252

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 225–252

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    28

Keywords:    Weighted variable exponent Lebesgue Sobolev space

Author Details

Youssef Akdim

Chakir Allalou

El gorch Nezha

  1. Regularity results for nonlinear parabolic problems in variable exponent Sobolev space with degenerate coercivity

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    https://doi.org/10.1007/s41808-022-00184-7 [Citations: 0]