Publicação
Variational problems with non-constant gradient constraints
| 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. |
|---|---|
| Autores principais: | Santos, Lisa |
| Assunto: | Parabolic variational inequality Parabolic PDE Free boundary problem |
| Ano: | 2002 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1867438190037565440 |
|---|---|
| author | Santos, Lisa |
| author_facet | Santos, Lisa |
| author_role | author |
| contributor_name_str_mv | RepositóriUM - Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Santos, Lisa\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RepositóriUM - Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Santos, Lisa |
| datacite.date.Accepted.fl_str_mv | 2002-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2005-05-11T17:55:15Z |
| datacite.date.embargoed.fl_str_mv | 2005-05-11T17:55:15Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Parabolic variational inequality Parabolic PDE Free boundary problem |
| datacite.titles.title.fl_str_mv | Variational problems with non-constant gradient constraints |
| dc.contributor.none.fl_str_mv | RepositóriUM - Universidade do Minho |
| dc.creator.none.fl_str_mv | Santos, Lisa |
| dc.date.Accepted.fl_str_mv | 2002-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2005-05-11T17:55:15Z |
| dc.date.embargoed.fl_str_mv | 2005-05-11T17:55:15Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/1555 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Sociedade Portuguesa de Matemática (SPM) |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Parabolic variational inequality Parabolic PDE Free boundary problem |
| dc.title.fl_str_mv | Variational problems with non-constant gradient constraints |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| 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. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/54a1b223-abab-42aa-b21b-aa71f75773f8/download |
| id | rum_f736d724d9285bfa0af4b70a38185fdc |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/1555 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/1555 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Santos, Lisa |
| publishDate | 2002 |
| publisher.none.fl_str_mv | Sociedade Portuguesa de Matemática (SPM) |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engSociedade Portuguesa de Matemática (SPM)engThis 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.application/pdfengVariational problems with non-constant gradient constraintsSantos, LisaHostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptCITATION"Portugaliæ mathematica". ISSN 0032-5155. 59:2 (2002) 205-248.ISSNIsPartOf0032-51552005-05-11T17:55:15Z20022002-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/1555http://purl.org/coar/access_right/c_abf2open accessParabolic variational inequalityParabolic PDEFree boundary problem284966 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/54a1b223-abab-42aa-b21b-aa71f75773f8/download |
| spellingShingle | Variational problems with non-constant gradient constraints Santos, Lisa Parabolic variational inequality Parabolic PDE Free boundary problem |
| status | SINGLETON |
| subject.fl_str_mv | Parabolic variational inequality Parabolic PDE Free boundary problem |
| title | 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_short | Variational problems with non-constant gradient constraints |
| title_sort | Variational problems with non-constant gradient constraints |
| topic | Parabolic variational inequality Parabolic PDE Free boundary problem |
| topic_facet | Parabolic variational inequality Parabolic PDE Free boundary problem |
| url | https://hdl.handle.net/1822/1555 |
| visible | 1 |