Weighted a Priori Estimates for the Poisson Equation

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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 applicati...

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Detalles Bibliográficos
Autores principales: Durán, Ricardo Guillermo, Sanmartino, Marcela, Toschi, Marisa
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2008
Materias:
Matemática
Poisson equation
Green function
Calderon zigmund theory
Weighted Sobolev spaces
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99871
https://ri.conicet.gov.ar/11336/93243
http://www.iumj.indiana.edu/oai/2008/57/3427/3427.xml
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99871
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Poisson equation
Green function
Calderon zigmund theory
Weighted Sobolev spaces
spellingShingle Matemática
Poisson equation
Green function
Calderon zigmund theory
Weighted Sobolev spaces
Durán, Ricardo Guillermo
Sanmartino, Marcela
Toschi, Marisa
Weighted a Priori Estimates for the Poisson Equation
topic_facet Matemática
Poisson equation
Green function
Calderon zigmund theory
Weighted Sobolev spaces
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.
format Articulo
Preprint
author Durán, Ricardo Guillermo
Sanmartino, Marcela
Toschi, Marisa
author_facet Durán, Ricardo Guillermo
Sanmartino, Marcela
Toschi, Marisa
author_sort Durán, Ricardo Guillermo
title Weighted a Priori Estimates for the Poisson Equation
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
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/99871
https://ri.conicet.gov.ar/11336/93243
http://www.iumj.indiana.edu/oai/2008/57/3427/3427.xml
work_keys_str_mv AT duranricardoguillermo weightedaprioriestimatesforthepoissonequation
AT sanmartinomarcela weightedaprioriestimatesforthepoissonequation
AT toschimarisa weightedaprioriestimatesforthepoissonequation
bdutipo_str Repositorios
_version_ 1764820493381140483

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