A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics

DOI10.1016/j.jmaa.2003.10.053zbMath1096.35040OpenAlexW2052729565MaRDI QIDQ596686

Olaf Steinbach

Publication date: 10 August 2004

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.2003.10.053

zbMATH Keywords

ellipticitysingle layer potentialplanar linear elasticity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (7)

On the Robin-transmission boundary value problems for the nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes systems ⋮ Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains ⋮ An asymptotic property of degenerate scales for multiple holes in plane elasticity ⋮ Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains ⋮ On solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems in plane elasticity ⋮ Variational formulation and upper bounds for degenerate scales in plane elasticity ⋮ Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)

Cites Work

• A finite element method for some integral equations of the first kind
• A robust boundary element method for nearly incompressible linear elasticity
• Invertibility of the biharmonic single layer potential operator
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem
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