Improved Poincaré inequalities and solutions of the divergence in weighted norms

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The improved Poincaré inequality ∣∣φ-φΩ∣∣ Lp(Ω)≤C ∣∣d∇φ Lp(Ω) Where Ω ⊂ Rn is a bounded domain and d(x) is the distance from x to the boundary of Ω, has many applications. In particular, it can be used to obtain a decomposition of functions with vanishing integral into a sum of locally supported fu...

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Detalles Bibliográficos
Autores principales: Acosta, Gabriel, Cejas, María Eugenia, Durán, Ricardo Guillermo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Matemática
Divergence operator
Poincaré inequalities
Weights
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/87652
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata

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