The nonlinear N-membranes evolution problem

Detalhes bibliográficos
Autor(a) principal: Rodrigues, José Francisco
Data de Publicação: 2009
Outros Autores: Santos, Lisa, Urbano, J. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/9724
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 behavio,r as t tends to infinity, of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
id RCAP_b49fa015b5606872c14926b304beccba
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/9724
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling The nonlinear N-membranes evolution problemThe 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 behavio,r as t tends to infinity, of the solution and the coincidence sets, showing that they converge to their stationary counterparts.(undefined)SpringerUniversidade do MinhoRodrigues, José FranciscoSantos, LisaUrbano, J. M.20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/9724eng"Journal of Mathematical Sciences". ISSN 1072-3374. 159:4 (2009) 559-572.1072-337410.1007/s10958-009-9461-8The original publication is available at www.springerlink.comhttp://www.springerlink.com/content/x23m13084481220q/info: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:RCAAP2023-07-21T12:07:24Zoai:repositorium.sdum.uminho.pt:1822/9724Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:58:21.930238Repositório 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 The nonlinear N-membranes evolution problem
title The nonlinear N-membranes evolution problem
spellingShingle The nonlinear N-membranes evolution problem
Rodrigues, José Francisco
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, J. M.
author_role author
author2 Santos, Lisa
Urbano, J. M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Rodrigues, José Francisco
Santos, Lisa
Urbano, J. M.
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 behavio,r as t tends to infinity, of the solution and the coincidence sets, showing that they converge to their stationary counterparts.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
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/1822/9724
url http://hdl.handle.net/1822/9724
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of Mathematical Sciences". ISSN 1072-3374. 159:4 (2009) 559-572.
1072-3374
10.1007/s10958-009-9461-8
The original publication is available at www.springerlink.com
http://www.springerlink.com/content/x23m13084481220q/
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 Springer
publisher.none.fl_str_mv Springer
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
institution RCAAP
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
_version_ 1799132373538832384

Registros relacionados