Mixed boundary value problem of Laplace equation in a bounded Lipschitz domain

DOI10.1016/j.jmaa.2007.03.109zbMath1135.35024OpenAlexW2088830136MaRDI QIDQ2473795

Hi Jun Choe, Tong Keun Chang

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.03.109

zbMATH Keywords

Laplace equationmixed boundary value problemdouble layer potentialbounded Lipschitz domainsingle layer potential

Mathematics Subject Classification ID

Related Items (3)

Existence results of two mixed boundary value elliptic PDEs in \(\mathbb{R}^N\) ⋮ On a Hele-Shaw flow problem with free and solid boundary components ⋮ Boundary integral operators over Lipschitz surfaces for a Stokes equation in \(\mathbb R^{n}\)

Cites Work

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• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Boundary Integral Equations for Mixed Boundary Value Problems inR3
• The mixed problem for laplace's equation in a class of lipschitz domains
• A Whitney extension theorem in \(L^p\) and Besov spaces

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