Global existence for vector valued fractional reaction-diffusion equations

Autores
Besteiro, Agustin Tomas; Rial, Diego Fernando
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study the initial value problem for infinite dimensional fractional non-autonomous reaction-diffusion equations. Applying general time-splitting methods, we prove the existence of solutions globally defined in time using convex sets as invariant regions. We expose examples where biological and pattern formation systems, under suitable assumptions, achieve global existence. We also analyze the asymptotic behavior of solutions.
Fil: Besteiro, Agustin Tomas. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rial, Diego Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
FRACTIONAL DIFFUSION
GLOBAL EXISTENCE
LIE–TROTTER METHOD
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/165555
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/165555
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Global existence for vector valued fractional reaction-diffusion equationsBesteiro, Agustin TomasRial, Diego FernandoFRACTIONAL DIFFUSIONGLOBAL EXISTENCELIE–TROTTER METHODhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study the initial value problem for infinite dimensional fractional non-autonomous reaction-diffusion equations. Applying general time-splitting methods, we prove the existence of solutions globally defined in time using convex sets as invariant regions. We expose examples where biological and pattern formation systems, under suitable assumptions, achieve global existence. We also analyze the asymptotic behavior of solutions.Fil: Besteiro, Agustin Tomas. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rial, Diego Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaUniversitat Autònoma de Barcelona2021-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/165555Besteiro, Agustin Tomas; Rial, Diego Fernando; Global existence for vector valued fractional reaction-diffusion equations; Universitat Autònoma de Barcelona; Publicacions Matematiques; 65; 7-2021; 653-6800214-1493CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT6522108info:eu-repo/semantics/altIdentifier/doi/10.5565/PUBLMAT6522108info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:03:35Zoai:ri.conicet.gov.ar:11336/165555instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:03:35.713CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Global existence for vector valued fractional reaction-diffusion equations
title Global existence for vector valued fractional reaction-diffusion equations
spellingShingle Global existence for vector valued fractional reaction-diffusion equations
Besteiro, Agustin Tomas
FRACTIONAL DIFFUSION
GLOBAL EXISTENCE
LIE–TROTTER METHOD
title_short Global existence for vector valued fractional reaction-diffusion equations
title_full Global existence for vector valued fractional reaction-diffusion equations
title_fullStr Global existence for vector valued fractional reaction-diffusion equations
title_full_unstemmed Global existence for vector valued fractional reaction-diffusion equations
title_sort Global existence for vector valued fractional reaction-diffusion equations
dc.creator.none.fl_str_mv Besteiro, Agustin Tomas
Rial, Diego Fernando
author Besteiro, Agustin Tomas
author_facet Besteiro, Agustin Tomas
Rial, Diego Fernando
author_role author
author2 Rial, Diego Fernando
author2_role author
dc.subject.none.fl_str_mv FRACTIONAL DIFFUSION
GLOBAL EXISTENCE
LIE–TROTTER METHOD
topic FRACTIONAL DIFFUSION
GLOBAL EXISTENCE
LIE–TROTTER METHOD
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we study the initial value problem for infinite dimensional fractional non-autonomous reaction-diffusion equations. Applying general time-splitting methods, we prove the existence of solutions globally defined in time using convex sets as invariant regions. We expose examples where biological and pattern formation systems, under suitable assumptions, achieve global existence. We also analyze the asymptotic behavior of solutions.
Fil: Besteiro, Agustin Tomas. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rial, Diego Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this paper we study the initial value problem for infinite dimensional fractional non-autonomous reaction-diffusion equations. Applying general time-splitting methods, we prove the existence of solutions globally defined in time using convex sets as invariant regions. We expose examples where biological and pattern formation systems, under suitable assumptions, achieve global existence. We also analyze the asymptotic behavior of solutions.
publishDate 2021
dc.date.none.fl_str_mv 2021-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/165555
Besteiro, Agustin Tomas; Rial, Diego Fernando; Global existence for vector valued fractional reaction-diffusion equations; Universitat Autònoma de Barcelona; Publicacions Matematiques; 65; 7-2021; 653-680
0214-1493
CONICET Digital
CONICET
url http://hdl.handle.net/11336/165555
identifier_str_mv Besteiro, Agustin Tomas; Rial, Diego Fernando; Global existence for vector valued fractional reaction-diffusion equations; Universitat Autònoma de Barcelona; Publicacions Matematiques; 65; 7-2021; 653-680
0214-1493
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT6522108
info:eu-repo/semantics/altIdentifier/doi/10.5565/PUBLMAT6522108
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universitat Autònoma de Barcelona
publisher.none.fl_str_mv Universitat Autònoma de Barcelona
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269808423337984
score 13.13397

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