Convergence rate for eigenvalues of the elastic Neumann-Poincaré operator in two dimensions

DOI10.1016/j.matpur.2020.06.008OpenAlexW3037238564MaRDI QIDQ781646

Hyeonbae Kang, Kazunori Ando, Yoshihisa Miyanishi

Publication date: 17 July 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07084

zbMATH Keywords

eigenvaluessmooth boundaryconvergence rateLamé systemNeumann-Poincaré operatorreal analytic boundary

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (2)

The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity ⋮ Discrete spectrum of zero order pseudodifferential operators

Cites Work

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• A decay estimate for the eigenvalues of the Neumann-Poincaré operator using the Grunsky coefficients
• Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry
• Elastic Neumann–Poincaré Operators on Three Dimensional Smooth Domains: Polynomial Compactness and Spectral Structure
• Eigenvalues and eigenfunctions of double layer potentials
• The Structure and Asymptotic Behavior of Polynomially Compact Operators

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