Asymptotic profiles for inhomogeneous heat equations with memory

Autores
Cortazar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the large-time behavior in all L p norms of solutions to an inhomogeneous nonlocal heat equation in R N involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L 1 norm of the forcing term.
Fil: Cortazar, Carmen. Pontificia Universidad Católica de Chile; Chile
Fil: Quirós, Fernando. Universidad Autónoma de Madrid; España
Fil: Wolanski, Noemi Irene. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
HEAT EQUATIONS WITH MEMORY
CAPUTO DERIVATIVE
FRACTIONAL LAPLACIAN
FULLY NONLOCAL HEAT EQUATIONS
LARGE-TIME BEHAVIOR
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:11336/243883
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/243883
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Asymptotic profiles for inhomogeneous heat equations with memoryCortazar, CarmenQuirós, FernandoWolanski, Noemi IreneHEAT EQUATIONS WITH MEMORYCAPUTO DERIVATIVEFRACTIONAL LAPLACIANFULLY NONLOCAL HEAT EQUATIONSLARGE-TIME BEHAVIORhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the large-time behavior in all L p norms of solutions to an inhomogeneous nonlocal heat equation in R N involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L 1 norm of the forcing term.Fil: Cortazar, Carmen. Pontificia Universidad Católica de Chile; ChileFil: Quirós, Fernando. Universidad Autónoma de Madrid; EspañaFil: Wolanski, Noemi Irene. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaSpringer2023-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/243883Cortazar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Asymptotic profiles for inhomogeneous heat equations with memory; Springer; Mathematische Annalen; 389; 4; 10-2023; 3705-37460025-5831CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00208-023-02707-6info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00208-023-02707-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:12:10Zoai:ri.conicet.gov.ar:11336/243883instacron: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:34982025-10-22 11:12:10.702CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Asymptotic profiles for inhomogeneous heat equations with memory
title Asymptotic profiles for inhomogeneous heat equations with memory
spellingShingle Asymptotic profiles for inhomogeneous heat equations with memory
Cortazar, Carmen
HEAT EQUATIONS WITH MEMORY
CAPUTO DERIVATIVE
FRACTIONAL LAPLACIAN
FULLY NONLOCAL HEAT EQUATIONS
LARGE-TIME BEHAVIOR
title_short Asymptotic profiles for inhomogeneous heat equations with memory
title_full Asymptotic profiles for inhomogeneous heat equations with memory
title_fullStr Asymptotic profiles for inhomogeneous heat equations with memory
title_full_unstemmed Asymptotic profiles for inhomogeneous heat equations with memory
title_sort Asymptotic profiles for inhomogeneous heat equations with memory
dc.creator.none.fl_str_mv Cortazar, Carmen
Quirós, Fernando
Wolanski, Noemi Irene
author Cortazar, Carmen
author_facet Cortazar, Carmen
Quirós, Fernando
Wolanski, Noemi Irene
author_role author
author2 Quirós, Fernando
Wolanski, Noemi Irene
author2_role author
author
dc.subject.none.fl_str_mv HEAT EQUATIONS WITH MEMORY
CAPUTO DERIVATIVE
FRACTIONAL LAPLACIAN
FULLY NONLOCAL HEAT EQUATIONS
LARGE-TIME BEHAVIOR
topic HEAT EQUATIONS WITH MEMORY
CAPUTO DERIVATIVE
FRACTIONAL LAPLACIAN
FULLY NONLOCAL HEAT EQUATIONS
LARGE-TIME BEHAVIOR
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the large-time behavior in all L p norms of solutions to an inhomogeneous nonlocal heat equation in R N involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L 1 norm of the forcing term.
Fil: Cortazar, Carmen. Pontificia Universidad Católica de Chile; Chile
Fil: Quirós, Fernando. Universidad Autónoma de Madrid; España
Fil: Wolanski, Noemi Irene. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description We study the large-time behavior in all L p norms of solutions to an inhomogeneous nonlocal heat equation in R N involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L 1 norm of the forcing term.
publishDate 2023
dc.date.none.fl_str_mv 2023-10
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/11336/243883
Cortazar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Asymptotic profiles for inhomogeneous heat equations with memory; Springer; Mathematische Annalen; 389; 4; 10-2023; 3705-3746
0025-5831
CONICET Digital
CONICET
url http://hdl.handle.net/11336/243883
identifier_str_mv Cortazar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Asymptotic profiles for inhomogeneous heat equations with memory; Springer; Mathematische Annalen; 389; 4; 10-2023; 3705-3746
0025-5831
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00208-023-02707-6
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00208-023-02707-6
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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score 12.982451

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