Mostrar el registro sencillo del ítem
dc.contributor.author
Arrieta, José M.
dc.contributor.author
Ferreira, Raúl
dc.contributor.author
de Pablo, Arturo
dc.contributor.author
Rossi, Julio Daniel
dc.date.available
2017-05-15T15:26:07Z
dc.date.issued
2010-01
dc.identifier.citation
Arrieta, José M.; Ferreira, Raúl; de Pablo, Arturo; Rossi, Julio Daniel; Stability of the blow-up time and the blow-up set under perturbations; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems; 26; 1; 1-2010; 43-61
dc.identifier.issn
1078-0947
dc.identifier.uri
http://hdl.handle.net/11336/16472
dc.description.abstract
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 spacial 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 blowup 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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Amer Inst Mathematical Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Stability
dc.subject
Blow-Up
dc.subject
Perturbations
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Stability of the blow-up time and the blow-up set under perturbations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-05-11T20:58:20Z
dc.identifier.eissn
1553-5231
dc.journal.volume
26
dc.journal.number
1
dc.journal.pagination
43-61
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Springfield
dc.description.fil
Fil: Arrieta, José M.. Universidad Complutense de Madrid; España
dc.description.fil
Fil: Ferreira, Raúl. Universidad Complutense de Madrid; España
dc.description.fil
Fil: de Pablo, Arturo. Universidad Carlos III de Madrid; España
dc.description.fil
Fil: Rossi, Julio Daniel. Universidad Autónoma de Madrid; España. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Discrete And Continuous Dynamical Systems
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/dcds.2010.26.43
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticles.jsp?paperID=4548
Archivos asociados