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

Mostrar todas las versiones(2)

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 .

Guardado en:
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
Descripción
Sumario: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 .

Ejemplares similares