Embedded eigenvalues for the Neumann-Poincaré operator

DOI10.1216/JIE-2019-31-4-505zbMath1436.31005arXiv1806.00950OpenAlexW3004957339MaRDI QIDQ2297064

Wei Li, Stephen P. Shipman

Publication date: 18 February 2020

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00950

zbMATH Keywords

potential theoryspectrumintegral operatorembedded eigenvalueNeumann-Poincaré operatorLipschitz curve

Mathematics Subject Classification ID

Integral operators (45P05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Eigenvalue problems for integral equations (45C05) Integral equations with kernels of Cauchy type (45E05) Linear integral equations (45A05)

Related Items (8)

Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum ⋮ A decay estimate for the eigenvalues of the Neumann-Poincaré operator using the Grunsky coefficients ⋮ Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review ⋮ Infinitely Many Embedded Eigenvalues for the Neumann--Poincaré Operator in 3D

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