Local null controllability of a 1D Stefan problem

The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with other previous arguments, does not rely on any compactness property and can be g...

Descripción completa

Detalles Bibliográficos
Autores: Fernández Cara, Enrique, Hernández, Freddy, Limaco Ferrel, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/79256
Acceso en línea:https://hdl.handle.net/11441/79256
https://doi.org/10.1007/s00574-018-0093-9
Access Level:acceso abierto
Palabra clave:Null controllability
Free-boundary problems
1D heat equation
Carleman estimates
id ES_f7bf7f2da5b68d296be064af3aecadc1
oai_identifier_str oai:idus.us.es:11441/79256
network_acronym_str ES
network_name_str España
repository_id_str
spelling Local null controllability of a 1D Stefan problemFernández Cara, EnriqueHernández, FreddyLimaco Ferrel, JuanNull controllabilityFree-boundary problems1D heat equationCarleman estimatesThe purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with other previous arguments, does not rely on any compactness property and can be generalized to higher dimensions.Ministerio de Economía y CompetitividadSpringerEcuaciones Diferenciales y Análisis NuméricoFQM131: Ec.diferenciales,Simulación Num.y Desarrollo SoftwareMinisterio de Economía y Competitividad (MINECO). España2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/79256https://doi.org/10.1007/s00574-018-0093-9reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésBulletin of the Brazilian Mathematical Society, New Series, 1-25.MTM2013-41286-Phttps://link.springer.com/content/pdf/10.1007%2Fs00574-018-0093-9.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/792562026-06-17T12:51:07Z
dc.title.none.fl_str_mv Local null controllability of a 1D Stefan problem
title Local null controllability of a 1D Stefan problem
spellingShingle Local null controllability of a 1D Stefan problem
Fernández Cara, Enrique
Null controllability
Free-boundary problems
1D heat equation
Carleman estimates
title_short Local null controllability of a 1D Stefan problem
title_full Local null controllability of a 1D Stefan problem
title_fullStr Local null controllability of a 1D Stefan problem
title_full_unstemmed Local null controllability of a 1D Stefan problem
title_sort Local null controllability of a 1D Stefan problem
dc.creator.none.fl_str_mv Fernández Cara, Enrique
Hernández, Freddy
Limaco Ferrel, Juan
author Fernández Cara, Enrique
author_facet Fernández Cara, Enrique
Hernández, Freddy
Limaco Ferrel, Juan
author_role author
author2 Hernández, Freddy
Limaco Ferrel, Juan
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software
Ministerio de Economía y Competitividad (MINECO). España
dc.subject.none.fl_str_mv Null controllability
Free-boundary problems
1D heat equation
Carleman estimates
topic Null controllability
Free-boundary problems
1D heat equation
Carleman estimates
description The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with other previous arguments, does not rely on any compactness property and can be generalized to higher dimensions.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/79256
https://doi.org/10.1007/s00574-018-0093-9
url https://hdl.handle.net/11441/79256
https://doi.org/10.1007/s00574-018-0093-9
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Bulletin of the Brazilian Mathematical Society, New Series, 1-25.
MTM2013-41286-P
https://link.springer.com/content/pdf/10.1007%2Fs00574-018-0093-9.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869424912042557440
score 15,300719

Similares en LA Referencia