Stability of the blow-up time and the blow-up set under perturbations

In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform b...

Descripción completa

Detalles Bibliográficos
Autores: Arrieta Algarra, José María, Ferreira de Pablo, Raúl, Pablo, Arturo de, Rossi, Julio D.
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/42005
Acceso en línea:https://hdl.handle.net/20.500.14352/42005
Access Level:acceso abierto
Palabra clave:517.98
Stability
Blow-up
Perturbations
Perturbations of the domain
Perturbations of parameters
Blow-up rates
Perturbations on the initial condition
Análisis funcional y teoría de operadores
id ES_7c65101c212e6b63abecc2e00ea840ba
oai_identifier_str oai:docta.ucm.es:20.500.14352/42005
network_acronym_str ES
network_name_str España
repository_id_str
spelling Stability of the blow-up time and the blow-up set under perturbationsArrieta Algarra, José MaríaFerreira de Pablo, RaúlPablo, Arturo deRossi, Julio D.517.98StabilityBlow-upPerturbationsPerturbations of the domainPerturbations of parametersBlow-up ratesPerturbations on the initial conditionAnálisis funcional y teoría de operadoresIn this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform bounds on the blow-up rates of the perturbed problems. We also present several examples. Among them we consider changing the special domain in which the heat equation with a power source takes place. We consider rather general perturbations of the domain and show the continuity of the blow- up time. Moreover, we deal with perturbations on the initial condition and on parameters in the equation. Finally, we also present some continuity results for the blow-up setAmerican Institute of Mathematical SciencesUniversidad Complutense de Madrid20102010-01-0120102010-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/42005reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/420052026-06-02T12:44:21Z
dc.title.none.fl_str_mv Stability of the blow-up time and the blow-up set under perturbations
title Stability of the blow-up time and the blow-up set under perturbations
spellingShingle Stability of the blow-up time and the blow-up set under perturbations
Arrieta Algarra, José María
517.98
Stability
Blow-up
Perturbations
Perturbations of the domain
Perturbations of parameters
Blow-up rates
Perturbations on the initial condition
Análisis funcional y teoría de operadores
title_short Stability of the blow-up time and the blow-up set under perturbations
title_full Stability of the blow-up time and the blow-up set under perturbations
title_fullStr Stability of the blow-up time and the blow-up set under perturbations
title_full_unstemmed Stability of the blow-up time and the blow-up set under perturbations
title_sort Stability of the blow-up time and the blow-up set under perturbations
dc.creator.none.fl_str_mv Arrieta Algarra, José María
Ferreira de Pablo, Raúl
Pablo, Arturo de
Rossi, Julio D.
author Arrieta Algarra, José María
author_facet Arrieta Algarra, José María
Ferreira de Pablo, Raúl
Pablo, Arturo de
Rossi, Julio D.
author_role author
author2 Ferreira de Pablo, Raúl
Pablo, Arturo de
Rossi, Julio D.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Stability
Blow-up
Perturbations
Perturbations of the domain
Perturbations of parameters
Blow-up rates
Perturbations on the initial condition
Análisis funcional y teoría de operadores
topic 517.98
Stability
Blow-up
Perturbations
Perturbations of the domain
Perturbations of parameters
Blow-up rates
Perturbations on the initial condition
Análisis funcional y teoría de operadores
description In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform bounds on the blow-up rates of the perturbed problems. We also present several examples. Among them we consider changing the special domain in which the heat equation with a power source takes place. We consider rather general perturbations of the domain and show the continuity of the blow- up time. Moreover, we deal with perturbations on the initial condition and on parameters in the equation. Finally, we also present some continuity results for the blow-up set
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01
2010
2010-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/42005
url https://hdl.handle.net/20.500.14352/42005
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869411586944270336
score 15,301629

Similares en LA Referencia