Sharp Hodge decompositions in two and three dimensional Lipschitz domains

DOI10.1016/S1631-073X(02)02232-XzbMath0998.58012MaRDI QIDQ1598471

Dorina Mitrea, Marius Mitrea

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

Hodge decompositionstwo and three dimensional Lipschitz domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hodge theory in global analysis (58A14) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (3)

Besov and Triebel-Lizorkin regularity for the Hodge decomposition and applications to magnetic potentials ⋮ Radiation conditions and integral representations for Clifford algebra-valued null-solutions of the Helmholtz operator ⋮ On Helmholtz decompositions and their generalizations—An overview

Cites Work

• Unnamed Item
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• Potential techniques for boundary value problems on \(C^1\)-domains
• Estimates of harmonic measure
• Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Hodge decomposition. A method for solving boundary value problems
• Finite Element Methods for Navier-Stokes Equations

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