Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions

In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence and uniqueness of the solutions in the weak sense are proved by using the penalty method and the reduction m...

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Detalles Bibliográficos
Autor principal: Dong, Yan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5805838/
https://www.ncbi.nlm.nih.gov/pubmed/29456418
http://dx.doi.org/10.1186/s13660-018-1623-0
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author Dong, Yan
author_facet Dong, Yan
author_sort Dong, Yan
collection PubMed
description In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence and uniqueness of the solutions in the weak sense are proved by using the penalty method and the reduction method.
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spelling pubmed-58058382018-02-14 Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions Dong, Yan J Inequal Appl Research In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence and uniqueness of the solutions in the weak sense are proved by using the penalty method and the reduction method. Springer International Publishing 2018-02-08 2018 /pmc/articles/PMC5805838/ /pubmed/29456418 http://dx.doi.org/10.1186/s13660-018-1623-0 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Dong, Yan
Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
title Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
title_full Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
title_fullStr Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
title_full_unstemmed Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
title_short Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
title_sort study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5805838/
https://www.ncbi.nlm.nih.gov/pubmed/29456418
http://dx.doi.org/10.1186/s13660-018-1623-0
work_keys_str_mv AT dongyan studyofweaksolutionsforparabolicvariationalinequalitieswithnonstandardgrowthconditions

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