Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities

In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal monotonicity, is used to explore the well-po...

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Auteurs principaux:	Emilio Vilches, Shengda Zeng
Format:	article
Langue:	EN
Publié:	Vilnius University Press 2021
Sujets:	evolutionary variational-hemivariational inequality history-dependent operator Clarke subdifferential fractional evolution inclusion semipermeability problem Analysis QA299.6-433
Accès en ligne:	https://doaj.org/article/949f6123512a45eea64226fcb2bae6b8
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id	oai:doaj.org-article:949f6123512a45eea64226fcb2bae6b8
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spelling	oai:doaj.org-article:949f6123512a45eea64226fcb2bae6b82021-12-02T17:47:37ZHidden maximal monotonicity in evolutionary variational-hemivariational inequalities10.15388/namc.2021.26.249411392-51132335-8963https://doaj.org/article/949f6123512a45eea64226fcb2bae6b82021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24941https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal monotonicity, is used to explore the well-posedness for a class of evolutionary variational-hemivariational inequalities involving history-dependent operators and related problems with periodic and antiperiodic boundary conditions. The applicability of our theoretical results is illustrated through applications to a fractional evolution inclusion and a dynamic semipermeability problem. Emilio VilchesShengda ZengVilnius University Pressarticleevolutionary variational-hemivariational inequalityhistory-dependent operatorClarke subdifferentialfractional evolution inclusionsemipermeability problemAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	evolutionary variational-hemivariational inequality history-dependent operator Clarke subdifferential fractional evolution inclusion semipermeability problem Analysis QA299.6-433
spellingShingle	evolutionary variational-hemivariational inequality history-dependent operator Clarke subdifferential fractional evolution inclusion semipermeability problem Analysis QA299.6-433 Emilio Vilches Shengda Zeng Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
description	In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal monotonicity, is used to explore the well-posedness for a class of evolutionary variational-hemivariational inequalities involving history-dependent operators and related problems with periodic and antiperiodic boundary conditions. The applicability of our theoretical results is illustrated through applications to a fractional evolution inclusion and a dynamic semipermeability problem.
format	article
author	Emilio Vilches Shengda Zeng
author_facet	Emilio Vilches Shengda Zeng
author_sort	Emilio Vilches
title	Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
title_short	Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
title_full	Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
title_fullStr	Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
title_full_unstemmed	Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
title_sort	hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
publisher	Vilnius University Press
publishDate	2021
url	https://doaj.org/article/949f6123512a45eea64226fcb2bae6b8
work_keys_str_mv	AT emiliovilches hiddenmaximalmonotonicityinevolutionaryvariationalhemivariationalinequalities AT shengdazeng hiddenmaximalmonotonicityinevolutionaryvariationalhemivariationalinequalities
_version_	1718379482425851904

Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities

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