Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions
Let u be a weak solution of (−Δ)m u = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ R n. Then, the main goal of this paper is to prove the following a priori estimate: ∥u∥W2m,pω(Ω)⩽C∥f∥Lpω(Ω), where ω is a weight in the Muckenhoupt class A p .
Autores principales: | , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2010
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/146795 |
Aporte de: |
id |
I19-R120-10915-146795 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas Dirichlet problem Green function Calderón-Zygmund theory weighted Sobolev space |
spellingShingle |
Ciencias Exactas Dirichlet problem Green function Calderón-Zygmund theory weighted Sobolev space Durán, Ricardo Guillermo Sanmartino, Marcela Toschi, Marisa Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions |
topic_facet |
Ciencias Exactas Dirichlet problem Green function Calderón-Zygmund theory weighted Sobolev space |
description |
Let u be a weak solution of (−Δ)m u = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ R n. Then, the main goal of this paper is to prove the following a priori estimate: ∥u∥W2m,pω(Ω)⩽C∥f∥Lpω(Ω), where ω is a weight in the Muckenhoupt class A p . |
format |
Articulo Articulo |
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 solution of (−Δ)m u = f with homogeneous dirichlet conditions |
title_short |
Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions |
title_full |
Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions |
title_fullStr |
Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions |
title_full_unstemmed |
Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions |
title_sort |
weighted a priori estimates for solution of (−δ)m u = f with homogeneous dirichlet conditions |
publishDate |
2010 |
url |
http://sedici.unlp.edu.ar/handle/10915/146795 |
work_keys_str_mv |
AT duranricardoguillermo weightedaprioriestimatesforsolutionofdmufwithhomogeneousdirichletconditions AT sanmartinomarcela weightedaprioriestimatesforsolutionofdmufwithhomogeneousdirichletconditions AT toschimarisa weightedaprioriestimatesforsolutionofdmufwithhomogeneousdirichletconditions |
bdutipo_str |
Repositorios |
_version_ |
1764820460436979713 |