The Dirichlet problem for elliptic systems in multiconnected rough regions

DOI10.1080/00036810500234448zbMath1134.35325OpenAlexW2049118144WikidataQ58292999 ScholiaQ58292999MaRDI QIDQ5711138

Irina Mitrea, Salil S. Kulkarni, Subrata Mukherjee

Publication date: 9 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500234448

zbMATH Keywords

Dirichlet problemelliptic systemsLamé systemlayer potentialsmulticonnected domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (2)

A weakly singular integral formulation for displacement prescribed problems of elasticity ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains

Cites Work

• Layer potentials and boundary value problems for elliptic systems in Lipschitz domains
• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Potential techniques for boundary value problems on \(C^1\)-domains
• The method of layer potentials for non-smooth domains with arbitrary topology
• Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
• THE INITIAL DIRICHLET BOUNDARY VALUE PROBLEM FOR GENERAL SECOND ORDER PARABOLIC SYSTEMS IN NONSMOOTH MANIFOLDS

This page was built for publication: The Dirichlet problem for elliptic systems in multiconnected rough regions