The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data

In this paper, we prove the existence result of a renormalized solution to a class of nonlinear parabolic systems, which has a variable exponent Laplacian term and a Leary lions operator with data belong to L1.

Bibliographic Details
Main Authors: Fairouz Souilah, Messaoud Maouni, Kamel Slimani
Format: Article
Language:English
Published: Etamaths Publishing 2020-06-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2087
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spelling doaj-2595cdfd11f24a8c8f0d4d2b75092e6d2021-08-26T13:44:40ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-06-01185748773477The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 DataFairouz Souilah0Messaoud Maouni1Kamel Slimani2University 20th August 1955, Skikda, Algeria . Laboratory of Applied Mathematics and History and Didactics of Maths "LAMAHIS".Universty 20 aout 1955-Skikda, AlgeriaUniversity 20th August 1955, Skikda, Algeria . Laboratory of Applied Mathematics and History and Didactics of Maths "LAMAHIS".In this paper, we prove the existence result of a renormalized solution to a class of nonlinear parabolic systems, which has a variable exponent Laplacian term and a Leary lions operator with data belong to L1.http://etamaths.com/index.php/ijaa/article/view/2087
collection DOAJ
language English
format Article
sources DOAJ
author Fairouz Souilah
Messaoud Maouni
Kamel Slimani
spellingShingle Fairouz Souilah
Messaoud Maouni
Kamel Slimani
The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data
International Journal of Analysis and Applications
author_facet Fairouz Souilah
Messaoud Maouni
Kamel Slimani
author_sort Fairouz Souilah
title The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data
title_short The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data
title_full The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data
title_fullStr The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data
title_full_unstemmed The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data
title_sort existence result of renormalized solution for nonlinear parabolic system with variable exponent and l1 data
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2020-06-01
description In this paper, we prove the existence result of a renormalized solution to a class of nonlinear parabolic systems, which has a variable exponent Laplacian term and a Leary lions operator with data belong to L1.
url http://etamaths.com/index.php/ijaa/article/view/2087
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