On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions

We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of...

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Detalles Bibliográficos
Autor: Arrieta Algarra, José María
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49761
Acceso en línea:https://hdl.handle.net/20.500.14352/49761
Access Level:acceso abierto
Palabra clave:517.9
Local boundedness at the boundary
Nonlinear boundary conditions
Bounded solutions
Blow-up
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
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spelling On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditionsArrieta Algarra, José María517.9Local boundedness at the boundaryNonlinear boundary conditionsBounded solutionsBlow-upEcuaciones diferenciales1202.07 Ecuaciones en DiferenciasWe give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of a local nature and need only to hold in a small neighborhood of the point x0.American Mathematical SocietyUniversidad Complutense de Madrid20082008-01-0120082008-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49761reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/497612026-06-02T12:44:21Z
dc.title.none.fl_str_mv On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
title On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
spellingShingle On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
Arrieta Algarra, José María
517.9
Local boundedness at the boundary
Nonlinear boundary conditions
Bounded solutions
Blow-up
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
title_short On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
title_full On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
title_fullStr On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
title_full_unstemmed On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
title_sort On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
dc.creator.none.fl_str_mv Arrieta Algarra, José María
author Arrieta Algarra, José María
author_facet Arrieta Algarra, José María
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.9
Local boundedness at the boundary
Nonlinear boundary conditions
Bounded solutions
Blow-up
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
topic 517.9
Local boundedness at the boundary
Nonlinear boundary conditions
Bounded solutions
Blow-up
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
description We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of a local nature and need only to hold in a small neighborhood of the point x0.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01
2008
2008-01-01
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/20.500.14352/49761
url https://hdl.handle.net/20.500.14352/49761
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 Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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_ 1869414789720047616
score 15,300724

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