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dc.contributor.author
Duran, Ricardo Guillermo  
dc.contributor.author
Sanmartino, Marcela  
dc.contributor.author
Toschi, Marisa  
dc.date.available
2019-12-30T16:01:39Z  
dc.date.issued
2008-02  
dc.identifier.citation
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  
dc.identifier.issn
0022-2518  
dc.identifier.uri
http://hdl.handle.net/11336/93243  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Indiana University  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Poisson Equation  
dc.subject
Green Function  
dc.subject
Calderon Zigmund Theory  
dc.subject
Weighted Sobolev Spaces  
dc.subject.classification
Otras Matemáticas  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Weighted a Priori Estimates for the Poisson Equation  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-09-20T14:16:55Z  
dc.journal.volume
57  
dc.journal.number
7  
dc.journal.pagination
3463-3478  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Indiana  
dc.description.fil
Fil: Duran, Ricardo. Universidad de Buenos Aires; Argentina  
dc.description.fil
Fil: Sanmartino, Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Toschi, Marisa. Universidad Nacional de La Plata; Argentina  
dc.journal.title
Indiana University Mathematics Journal  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.iumj.indiana.edu/oai/2008/57/3427/3427.xml  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.jstor.org/stable/24903101?seq=1  

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