The Behaviour of Elastic Fields and Boundary Integral Mellin Techniques Near Conical Points

DOI10.1002/mana.3211800107zbMath0866.35125OpenAlexW1965029968MaRDI QIDQ4888018

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Publication date: 5 September 1996

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211800107

zbMATH Keywords

boundary integral equationsMellin transformationmeromorphic operator functionssingular behaviour of elastic fields

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

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Single layer potentials on surfaces with small Lipschitz constants ⋮ On solution of Lamé equations in axisymmetric domains with conical points ⋮ Two weight estimates for the single layer potential on Lipschitz surfaces with small Lipschitz constant

Cites Work

• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• A finite element method for some integral equations of the first kind
• Strong ellipticity of boundary integral operators.
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