Optimal design problems with fractional diffusions

Detalhes bibliográficos
Autor(a) principal: Teixeira, Eduardo V.
Data de Publicação: 2015
Outros Autores: Teymurazyan, Rafayel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44498
https://doi.org/10.1112/jlms/jdv034
Resumo: In this article, we study optimization problems ruled by fractional diffusion operators with volume constraints. By means of penalization techniques, we prove existence of solutions. We also show that every solution is locally of class C^{0,α} (optimal regularity), and that the free boundary is a C^{1,γ} surface, up to an H^{n−1}-negligible set.
id RCAP_83a288da96048b73d11235972993bf01
oai_identifier_str oai:estudogeral.uc.pt:10316/44498
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Optimal design problems with fractional diffusionsIn this article, we study optimization problems ruled by fractional diffusion operators with volume constraints. By means of penalization techniques, we prove existence of solutions. We also show that every solution is locally of class C^{0,α} (optimal regularity), and that the free boundary is a C^{1,γ} surface, up to an H^{n−1}-negligible set.Wiley2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44498http://hdl.handle.net/10316/44498https://doi.org/10.1112/jlms/jdv034https://doi.org/10.1112/jlms/jdv034eng0024-61071469-7750http://dx.doi.org/10.1112/jlms/jdv034Teixeira, Eduardo V.Teymurazyan, Rafayelinfo: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:RCAAP2022-09-05T13:43:51Zoai:estudogeral.uc.pt:10316/44498Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:23.956479Repositório 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 Optimal design problems with fractional diffusions
title Optimal design problems with fractional diffusions
spellingShingle Optimal design problems with fractional diffusions
Teixeira, Eduardo V.
title_short Optimal design problems with fractional diffusions
title_full Optimal design problems with fractional diffusions
title_fullStr Optimal design problems with fractional diffusions
title_full_unstemmed Optimal design problems with fractional diffusions
title_sort Optimal design problems with fractional diffusions
author Teixeira, Eduardo V.
author_facet Teixeira, Eduardo V.
Teymurazyan, Rafayel
author_role author
author2 Teymurazyan, Rafayel
author2_role author
dc.contributor.author.fl_str_mv Teixeira, Eduardo V.
Teymurazyan, Rafayel
description In this article, we study optimization problems ruled by fractional diffusion operators with volume constraints. By means of penalization techniques, we prove existence of solutions. We also show that every solution is locally of class C^{0,α} (optimal regularity), and that the free boundary is a C^{1,γ} surface, up to an H^{n−1}-negligible set.
publishDate 2015
dc.date.none.fl_str_mv 2015
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/10316/44498
http://hdl.handle.net/10316/44498
https://doi.org/10.1112/jlms/jdv034
https://doi.org/10.1112/jlms/jdv034
url http://hdl.handle.net/10316/44498
https://doi.org/10.1112/jlms/jdv034
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-6107
1469-7750
http://dx.doi.org/10.1112/jlms/jdv034
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
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_ 1799133821112680448

Registros relacionados