Spectral properties of the layer potentials on Lipschitz domains

zbMath1205.31001MaRDI QIDQ733326

Kijung Lee, Tong Keun Chang

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1248355344

zbMATH Keywords

resolventspectrumdouble layer potentialsingle layer potentialLipschitz domain

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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Cites Work

• Unnamed Item
• Spectral properties of the layer potentials associated with elasticity equations and transmission problems on Lipschitz domains
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Potential techniques for boundary value problems on \(C^1\)-domains
• Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains
• Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains
• Transmission problems and spectral theory for singular integral operators on Lipschitz domains
• On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries

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