Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions

Autores
Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenhoupt class
Fil: Duran, Ricardo Guillermo. Universidad de Buenos Aires; Argentina
Fil: Sanmartino, Marcela. Universidad Nacional de La Plata; Argentina
Fil: Toschi, Marisa. 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
Dirichlet Problem
Green Function
Calderón-Zygmund Theory
Weighted Sobolev Spaces
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:11336/75189
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75189
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditionsDuran, Ricardo GuillermoSanmartino, MarcelaToschi, MarisaDirichlet ProblemGreen FunctionCalderón-Zygmund TheoryWeighted Sobolev Spaceshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenhoupt classFil: Duran, Ricardo Guillermo. Universidad de Buenos Aires; ArgentinaFil: Sanmartino, Marcela. Universidad Nacional de La Plata; ArgentinaFil: Toschi, Marisa. 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; ArgentinaSpringer2010-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75189Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions; Springer; Analysis in Theory and Applications; 26; 4; 12-2010; 339-3491672-4070CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10496-010-0339-xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:10:03Zoai:ri.conicet.gov.ar:11336/75189instacron: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:34982025-09-29 10:10:03.506CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
title Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
spellingShingle Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
Duran, Ricardo Guillermo
Dirichlet Problem
Green Function
Calderón-Zygmund Theory
Weighted Sobolev Spaces
title_short Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
title_full Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
title_fullStr Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
title_full_unstemmed Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
title_sort Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
dc.creator.none.fl_str_mv Duran, Ricardo Guillermo
Sanmartino, Marcela
Toschi, Marisa
author Duran, Ricardo Guillermo
author_facet Duran, Ricardo Guillermo
Sanmartino, Marcela
Toschi, Marisa
author_role author
author2 Sanmartino, Marcela
Toschi, Marisa
author2_role author
author
dc.subject.none.fl_str_mv Dirichlet Problem
Green Function
Calderón-Zygmund Theory
Weighted Sobolev Spaces
topic Dirichlet Problem
Green Function
Calderón-Zygmund Theory
Weighted Sobolev Spaces
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenhoupt class
Fil: Duran, Ricardo Guillermo. Universidad de Buenos Aires; Argentina
Fil: Sanmartino, Marcela. Universidad Nacional de La Plata; Argentina
Fil: Toschi, Marisa. 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 Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenhoupt class
publishDate 2010
dc.date.none.fl_str_mv 2010-12
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/11336/75189
Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions; Springer; Analysis in Theory and Applications; 26; 4; 12-2010; 339-349
1672-4070
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75189
identifier_str_mv Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions; Springer; Analysis in Theory and Applications; 26; 4; 12-2010; 339-349
1672-4070
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/s10496-010-0339-x
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 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
_version_ 1844613986132164608
score 13.070432

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