Weighted a Priori Estimates for the Poisson Equation
- Autores
- Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa
- Año de publicación
- 2008
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let Ω be a bounded domain in R n with C 2 and let u be a solution of the classical Poisson problem in ; i.e., { u = f in , u = 0 on , where f L p ( ) and is a weight in A p . The main goal of this paper is to prove the following a priori estimate u W 2 , p ( ) C f L p ( ), and to give some applications for weights given by powers of the distance to the boundary.
Fil: Duran, Ricardo. Universidad de Buenos Aires; Argentina
Fil: Sanmartino, Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Toschi, Marisa. Universidad Nacional de La Plata; Argentina - Materia
-
Poisson Equation
Green Function
Calderon Zigmund Theory
Weighted Sobolev Spaces - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/93243
Ver los metadatos del registro completo
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spelling |
Weighted a Priori Estimates for the Poisson EquationDuran, Ricardo GuillermoSanmartino, MarcelaToschi, MarisaPoisson EquationGreen FunctionCalderon Zigmund TheoryWeighted Sobolev Spaceshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let Ω be a bounded domain in R n with C 2 and let u be a solution of the classical Poisson problem in ; i.e., { u = f in , u = 0 on , where f L p ( ) and is a weight in A p . The main goal of this paper is to prove the following a priori estimate u W 2 , p ( ) C f L p ( ), and to give some applications for weights given by powers of the distance to the boundary.Fil: Duran, Ricardo. Universidad de Buenos Aires; ArgentinaFil: Sanmartino, Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Toschi, Marisa. Universidad Nacional de La Plata; ArgentinaIndiana University2008-02info: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/11336/93243Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; Weighted a Priori Estimates for the Poisson Equation; Indiana University; Indiana University Mathematics Journal; 57; 7; 2-2008; 3463-34780022-2518CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.iumj.indiana.edu/oai/2008/57/3427/3427.xmlinfo:eu-repo/semantics/altIdentifier/url/https://www.jstor.org/stable/24903101?seq=1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:47:27Zoai:ri.conicet.gov.ar:11336/93243instacron: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 10:47:27.919CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Weighted a Priori Estimates for the Poisson Equation |
title |
Weighted a Priori Estimates for the Poisson Equation |
spellingShingle |
Weighted a Priori Estimates for the Poisson Equation Duran, Ricardo Guillermo Poisson Equation Green Function Calderon Zigmund Theory Weighted Sobolev Spaces |
title_short |
Weighted a Priori Estimates for the Poisson Equation |
title_full |
Weighted a Priori Estimates for the Poisson Equation |
title_fullStr |
Weighted a Priori Estimates for the Poisson Equation |
title_full_unstemmed |
Weighted a Priori Estimates for the Poisson Equation |
title_sort |
Weighted a Priori Estimates for the Poisson Equation |
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 |
Poisson Equation Green Function Calderon Zigmund Theory Weighted Sobolev Spaces |
topic |
Poisson Equation Green Function Calderon Zigmund 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 Ω be a bounded domain in R n with C 2 and let u be a solution of the classical Poisson problem in ; i.e., { u = f in , u = 0 on , where f L p ( ) and is a weight in A p . The main goal of this paper is to prove the following a priori estimate u W 2 , p ( ) C f L p ( ), and to give some applications for weights given by powers of the distance to the boundary. Fil: Duran, Ricardo. Universidad de Buenos Aires; Argentina Fil: Sanmartino, Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Toschi, Marisa. Universidad Nacional de La Plata; Argentina |
description |
Let Ω be a bounded domain in R n with C 2 and let u be a solution of the classical Poisson problem in ; i.e., { u = f in , u = 0 on , where f L p ( ) and is a weight in A p . The main goal of this paper is to prove the following a priori estimate u W 2 , p ( ) C f L p ( ), and to give some applications for weights given by powers of the distance to the boundary. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-02 |
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/11336/93243 Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; Weighted a Priori Estimates for the Poisson Equation; Indiana University; Indiana University Mathematics Journal; 57; 7; 2-2008; 3463-3478 0022-2518 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/93243 |
identifier_str_mv |
Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; Weighted a Priori Estimates for the Poisson Equation; Indiana University; Indiana University Mathematics Journal; 57; 7; 2-2008; 3463-3478 0022-2518 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.iumj.indiana.edu/oai/2008/57/3427/3427.xml info:eu-repo/semantics/altIdentifier/url/https://www.jstor.org/stable/24903101?seq=1 |
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 |
Indiana University |
publisher.none.fl_str_mv |
Indiana University |
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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1844614518883221504 |
score |
13.070432 |