Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1-data-Reference-Cited by-同舟云学术

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1-data

Published:2020-06-01 Issue:1 Volume:28 Page:67-88
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Sabri Abdelali¹,Jamea Ahmed²,Alaoui Hamad Talibi¹

Affiliation:

1. EMAPI, Faculté des Sciences , Université Chouaib Doukkali , El Jadida , 24000 , Morocco .

2. EMAPI, Faculté des Sciences , Université Chouaib Doukkali , El Jadida , 24000 , Morocco . & CRMEF Casablanca Settat, SP d’El Jadida, El Jadida , 24000 , Morocco .

Abstract

Abstract In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p(·)-Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2020-0006

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