Sharp Hodge decompositions in two and three dimensional Lipschitz domains
type: Item
instance of: scholarly article
title: Sharp Hodge decompositions in two and three dimensional Lipschitz domains
zbMATH Open document ID: 0998.58012
DOI: 10.1016/S1631-073X(02)02232-X
author: Dorina Mitrea
author: Marius Mitrea
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-01-01T00:00:00Z
Mathematics Subject Classification ID: 58A14
Mathematics Subject Classification ID: 35G15
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1744362
zbMATH Keywords: Hodge decompositions
zbMATH Keywords: two and three dimensional Lipschitz domains
MaRDI profile type: Publication
cites work: Estimates of harmonic measure
cites work: Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
cites work: Q3994913
cites work: Potential techniques for boundary value problems on \(C^1\)-domains
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: The inhomogeneous Dirichlet problem in Lipschitz domains
cites work: Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
cites work: Hodge decomposition. A method for solving boundary value problems
cites work: Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
Recommended article: Sharp \(L^ p\)-Hodge decompositions for Lipschitz domains in \(\mathbb R^ 2\).
Recommended article: Q3155085
Recommended article: Layer potentials and Hodge decompositions in two dimensional Lipschitz domains.
Recommended article: Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds
Recommended article: Lipschitz Domains, Domains with Corners, and the Hodge Laplacian
Recommended article: HODGE DECOMPOSITIONS ON THE BOUNDARY OF NONSMOOTH DOMAINS: THE MULTI-CONNECTED CASE
Recommended article: Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds
Recommended article: Traces of differential forms on Lipschitz domains, the boundary De Rham complex, and Hodge decompositions
Recommended article: Hodge decomposition for symmetric matrix fields and the elasticity complex in Lipschitz domains
Recommended article: Sharp Liouville theorems
description: scientific article; zbMATH DE number 1744362