Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem-Reference-Cited by-同舟云学术

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem

Published:2019-06-23 Issue:1 Volume:9 Page:591-612
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Guibé Olivier¹,Mokrane A.²,Tahraoui Y.²,Vallet G.³

Affiliation:

1. Laboratoire de Mathématiques Raphaël Salem , UMR 6085 CNRS, Av. de ľUniversité , BP.12, 76801 , Saint-Étienne-du-Rouvray , France

2. Laboratoire ďéquations aux dérivées partielles non linéaires et histoire des mathématiques , École Normale Supérieure , B.P. 92, Vieux Kouba, 16050 , Alger , Algérie

3. Laboratoire de Mathématiques et Applications de Pau , UMR CNRS 5142, BP1155, 64013 , Pau cedex , France

Abstract

Abstract The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Reference27 articles.

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5. H. Brézis. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North-Holland Publishing Co., New York, 1973.

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