A note on Besov regularity of layer potentials and solutions of elliptic PDE’s

DOI10.1090/S0002-9939-02-06551-6zbMath1005.35032MaRDI QIDQ4330585

Marius Mitrea

Publication date: 13 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

smoothnessLipschitz domainsBesov space regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order elliptic equations (35J15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (1)

EXTENSION AND RESTRICTION THEOREMS IN ANISOTROPIC BESOV SPACES

Cites Work

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• A discrete transform and decompositions of distribution spaces
• Besov regularity for second order elliptic boundary value problems with variable coefficients
• Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Wavelet coefficients measuring smoothness in \(H_ p(\mathbb{R}^ d)\)
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
• Besov Spaces on Domains in ℝ d
• Besov regularity for elliptic boundary value problems
• Generalized Dirac operators on nonsmooth manifolds and Maxwell's equations
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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