Spectral properties of the layer potentials associated with elasticity equations and transmission problems on Lipschitz domains

DOI10.1016/j.jmaa.2006.03.001zbMath1160.35486OpenAlexW2071247851MaRDI QIDQ860930

Hi Jun Choe, Tong Keun Chang

Publication date: 9 January 2007

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.2006.03.001

zbMATH Keywords

spectral radiustransmission problemLipschitz domainslayer potentialselasticity equation

Mathematics Subject Classification ID

Related Items (4)

Modal approximation for time-domain elastic scattering from metamaterial quasiparticles ⋮ Spectral properties of the Neumann–Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system ⋮ Spectral properties of the layer potentials on Lipschitz domains ⋮ Spectral properties for layer potentials associated to the Stokes equation in Lipschitz domains

Cites Work

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• 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
• 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
• On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries

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