The nonlinear N-membranes evolution problem

Detalhes bibliográficos
Autor(a) principal: Rodrigues, José Francisco
Data de Publicação: 2008
Outros Autores: Santos, Lisa, Urbano, José Miguel
Tipo de documento: Outros
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: https://hdl.handle.net/10316/11203
Resumo: The parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regularity and the stability of the variational solutions. We extend to the evolutionary case the characterization of the Lagrange multipliers associated with the ordering constraint in terms of the characteristic functions of the coincidence sets. We give continuous dependence results, and study the asymptotic behavior as t → ∞ of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
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spelling The nonlinear N-membranes evolution problemVariational inequalityP-LaplacianStabilityAsymptotic behaviourCoincidence setThe parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regularity and the stability of the variational solutions. We extend to the evolutionary case the characterization of the Lagrange multipliers associated with the ordering constraint in terms of the characteristic functions of the coincidence sets. We give continuous dependence results, and study the asymptotic behavior as t → ∞ of the solution and the coincidence sets, showing that they converge to their stationary counterparts.Centro de Matemática da Universidade de Coimbra2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/11203https://hdl.handle.net/10316/11203engPré-Publicações DMUC. 08-58 (2008)Rodrigues, José FranciscoSantos, LisaUrbano, José Miguelinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-25T13:11:29Zoai:estudogeral.uc.pt:10316/11203Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:17.842468Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The nonlinear N-membranes evolution problem
title The nonlinear N-membranes evolution problem
spellingShingle The nonlinear N-membranes evolution problem
Rodrigues, José Francisco
Variational inequality
P-Laplacian
Stability
Asymptotic behaviour
Coincidence set
title_short The nonlinear N-membranes evolution problem
title_full The nonlinear N-membranes evolution problem
title_fullStr The nonlinear N-membranes evolution problem
title_full_unstemmed The nonlinear N-membranes evolution problem
title_sort The nonlinear N-membranes evolution problem
author Rodrigues, José Francisco
author_facet Rodrigues, José Francisco
Santos, Lisa
Urbano, José Miguel
author_role author
author2 Santos, Lisa
Urbano, José Miguel
author2_role author
author
dc.contributor.author.fl_str_mv Rodrigues, José Francisco
Santos, Lisa
Urbano, José Miguel
dc.subject.por.fl_str_mv Variational inequality
P-Laplacian
Stability
Asymptotic behaviour
Coincidence set
topic Variational inequality
P-Laplacian
Stability
Asymptotic behaviour
Coincidence set
description The parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regularity and the stability of the variational solutions. We extend to the evolutionary case the characterization of the Lagrange multipliers associated with the ordering constraint in terms of the characteristic functions of the coincidence sets. We give continuous dependence results, and study the asymptotic behavior as t → ∞ of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/11203
https://hdl.handle.net/10316/11203
url https://hdl.handle.net/10316/11203
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 08-58 (2008)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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