Divergence operator and Poincaré inequalities on arbitrary bounded domains

Let Ω be an arbitrary bounded domain of ℝⁿ . We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincare inequalities on Ω. We recover, in particular, well-known result...

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Detalles Bibliográficos
Autores principales: Durán, Ricardo Guillermo, Muschietti, María Amelia, Russ, Emmanuel, Tchamitchian, Philippe
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2010
Materias:
Ciencias Exactas
Matemática
divergence
Poincaré inequalities
geodesic distance
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127817
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-127817
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
Matemática
divergence
Poincaré inequalities
geodesic distance
spellingShingle Ciencias Exactas
Matemática
divergence
Poincaré inequalities
geodesic distance
Durán, Ricardo Guillermo
Muschietti, María Amelia
Russ, Emmanuel
Tchamitchian, Philippe
Divergence operator and Poincaré inequalities on arbitrary bounded domains
topic_facet Ciencias Exactas
Matemática
divergence
Poincaré inequalities
geodesic distance
description Let Ω be an arbitrary bounded domain of ℝⁿ . We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincare inequalities on Ω. We recover, in particular, well-known results on the right invertibility of the divergence in Sobolev spaces when Ω is Lipschitz or, more generally, when Ω is a John domain, and focus on the case of s-John domains.
format Articulo
Preprint
author Durán, Ricardo Guillermo
Muschietti, María Amelia
Russ, Emmanuel
Tchamitchian, Philippe
author_facet Durán, Ricardo Guillermo
Muschietti, María Amelia
Russ, Emmanuel
Tchamitchian, Philippe
author_sort Durán, Ricardo Guillermo
title Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_short Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_full Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_fullStr Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_full_unstemmed Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_sort divergence operator and poincaré inequalities on arbitrary bounded domains
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/127817
work_keys_str_mv AT duranricardoguillermo divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomains
AT muschiettimariaamelia divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomains
AT russemmanuel divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomains
AT tchamitchianphilippe divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomains
bdutipo_str Repositorios
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