Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions

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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 .

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Detalles Bibliográficos
Autores principales: Durán, Ricardo Guillermo, Sanmartino, Marcela, Toschi, Marisa
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Ciencias Exactas
Dirichlet problem
Green function
Calderón-Zygmund theory
weighted Sobolev space
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/146795
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-146795
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
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