Dyadic nonlocal diffusion in metric measure spaces

Autores
Actis, Marcelo Jesús; Aimar, Hugo Alejandro
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we solve the initial value problem for the nonlocal diffusion generated by the space fractional derivative induced by the dyadic tilings of M. Christ on a space of homogeneous type. We consider the problems of pointwise and norm convergence to the initial data. The main tool is the use of the Haar system induced by a dyadic tiling, which is actually the set of eigenfunctions for the fractional derivative operator.
Fil: Actis, Marcelo Jesús. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
Nonlocal Diffusions
Dyadic Fractional Derivatives
Space of Homogeneous Type
Haar Basis
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:11336/30629
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/30629
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Dyadic nonlocal diffusion in metric measure spacesActis, Marcelo JesúsAimar, Hugo AlejandroNonlocal DiffusionsDyadic Fractional DerivativesSpace of Homogeneous TypeHaar Basishttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we solve the initial value problem for the nonlocal diffusion generated by the space fractional derivative induced by the dyadic tilings of M. Christ on a space of homogeneous type. We consider the problems of pointwise and norm convergence to the initial data. The main tool is the use of the Haar system induced by a dyadic tiling, which is actually the set of eigenfunctions for the fractional derivative operator.Fil: Actis, Marcelo Jesús. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaDe Gruyter2015-06info: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/11336/30629Actis, Marcelo Jesús; Aimar, Hugo Alejandro; Dyadic nonlocal diffusion in metric measure spaces; De Gruyter; FRACTIONAL CALCULUS AND APPLIED ANALYSIS; 18; 3; 6-2015; 762-7881311-04541314-2224CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.degruyter.com/view/j/fca.2015.18.issue-3/issue-files/fca.2015.18.issue-3.xmlinfo:eu-repo/semantics/altIdentifier/doi/10.1515/fca-2015-0046info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:21:36Zoai:ri.conicet.gov.ar:11336/30629instacron: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:34982025-09-10 13:21:36.287CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dyadic nonlocal diffusion in metric measure spaces
title Dyadic nonlocal diffusion in metric measure spaces
spellingShingle Dyadic nonlocal diffusion in metric measure spaces
Actis, Marcelo Jesús
Nonlocal Diffusions
Dyadic Fractional Derivatives
Space of Homogeneous Type
Haar Basis
title_short Dyadic nonlocal diffusion in metric measure spaces
title_full Dyadic nonlocal diffusion in metric measure spaces
title_fullStr Dyadic nonlocal diffusion in metric measure spaces
title_full_unstemmed Dyadic nonlocal diffusion in metric measure spaces
title_sort Dyadic nonlocal diffusion in metric measure spaces
dc.creator.none.fl_str_mv Actis, Marcelo Jesús
Aimar, Hugo Alejandro
author Actis, Marcelo Jesús
author_facet Actis, Marcelo Jesús
Aimar, Hugo Alejandro
author_role author
author2 Aimar, Hugo Alejandro
author2_role author
dc.subject.none.fl_str_mv Nonlocal Diffusions
Dyadic Fractional Derivatives
Space of Homogeneous Type
Haar Basis
topic Nonlocal Diffusions
Dyadic Fractional Derivatives
Space of Homogeneous Type
Haar Basis
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 solve the initial value problem for the nonlocal diffusion generated by the space fractional derivative induced by the dyadic tilings of M. Christ on a space of homogeneous type. We consider the problems of pointwise and norm convergence to the initial data. The main tool is the use of the Haar system induced by a dyadic tiling, which is actually the set of eigenfunctions for the fractional derivative operator.
Fil: Actis, Marcelo Jesús. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description In this paper we solve the initial value problem for the nonlocal diffusion generated by the space fractional derivative induced by the dyadic tilings of M. Christ on a space of homogeneous type. We consider the problems of pointwise and norm convergence to the initial data. The main tool is the use of the Haar system induced by a dyadic tiling, which is actually the set of eigenfunctions for the fractional derivative operator.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
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/11336/30629
Actis, Marcelo Jesús; Aimar, Hugo Alejandro; Dyadic nonlocal diffusion in metric measure spaces; De Gruyter; FRACTIONAL CALCULUS AND APPLIED ANALYSIS; 18; 3; 6-2015; 762-788
1311-0454
1314-2224
CONICET Digital
CONICET
url http://hdl.handle.net/11336/30629
identifier_str_mv Actis, Marcelo Jesús; Aimar, Hugo Alejandro; Dyadic nonlocal diffusion in metric measure spaces; De Gruyter; FRACTIONAL CALCULUS AND APPLIED ANALYSIS; 18; 3; 6-2015; 762-788
1311-0454
1314-2224
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://www.degruyter.com/view/j/fca.2015.18.issue-3/issue-files/fca.2015.18.issue-3.xml
info:eu-repo/semantics/altIdentifier/doi/10.1515/fca-2015-0046
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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_ 1842981186655223808
score 12.48226

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