Variational problems with non-constant gradient constraints

Detalhes bibliográficos
Autor(a) principal: Santos, Lisa
Data de Publicação: 2002
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/1555
Resumo: This paper studies existence, uniqueness, continuous dependence on the given data and the asymptotic behavior of the solution of an evolutive variational inequality with non-constant gradient constraint and homogeneous Dirichlet boundary condition. With assumptions on the given data, we prove existence of solution for a variational inequality with two obstacles, a Lagrange multiplier problem and an equation with gradient constraint. Equivalence of these problems with the variational inequality with gradient constraint is proved. An example of non-equivalence among these problems is given in order to show the necessity of the assumptions.
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spelling Variational problems with non-constant gradient constraintsParabolic variational inequalityParabolic PDEFree boundary problemThis paper studies existence, uniqueness, continuous dependence on the given data and the asymptotic behavior of the solution of an evolutive variational inequality with non-constant gradient constraint and homogeneous Dirichlet boundary condition. With assumptions on the given data, we prove existence of solution for a variational inequality with two obstacles, a Lagrange multiplier problem and an equation with gradient constraint. Equivalence of these problems with the variational inequality with gradient constraint is proved. An example of non-equivalence among these problems is given in order to show the necessity of the assumptions.Sociedade Portuguesa de Matemática (SPM)Universidade do MinhoSantos, Lisa20022002-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/1555eng"Portugaliæ mathematica". ISSN 0032-5155. 59:2 (2002) 205-248.0032-5155info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:04:58Zoai:repositorium.sdum.uminho.pt:1822/1555Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:55:18.961264Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Variational problems with non-constant gradient constraints
title Variational problems with non-constant gradient constraints
spellingShingle Variational problems with non-constant gradient constraints
Santos, Lisa
Parabolic variational inequality
Parabolic PDE
Free boundary problem
title_short Variational problems with non-constant gradient constraints
title_full Variational problems with non-constant gradient constraints
title_fullStr Variational problems with non-constant gradient constraints
title_full_unstemmed Variational problems with non-constant gradient constraints
title_sort Variational problems with non-constant gradient constraints
author Santos, Lisa
author_facet Santos, Lisa
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Santos, Lisa
dc.subject.por.fl_str_mv Parabolic variational inequality
Parabolic PDE
Free boundary problem
topic Parabolic variational inequality
Parabolic PDE
Free boundary problem
description This paper studies existence, uniqueness, continuous dependence on the given data and the asymptotic behavior of the solution of an evolutive variational inequality with non-constant gradient constraint and homogeneous Dirichlet boundary condition. With assumptions on the given data, we prove existence of solution for a variational inequality with two obstacles, a Lagrange multiplier problem and an equation with gradient constraint. Equivalence of these problems with the variational inequality with gradient constraint is proved. An example of non-equivalence among these problems is given in order to show the necessity of the assumptions.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/1555
url http://hdl.handle.net/1822/1555
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Portugaliæ mathematica". ISSN 0032-5155. 59:2 (2002) 205-248.
0032-5155
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedade Portuguesa de Matemática (SPM)
publisher.none.fl_str_mv Sociedade Portuguesa de Matemática (SPM)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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