Spectral bounds for the Neumann-Poincaré operator on planar domains with corners

DOI10.1007/s11854-014-0026-5zbMath1320.31010arXiv1209.3918OpenAlexW2024913048MaRDI QIDQ2253705

Mihai Putinar, Karl-Mikael Perfekt

Publication date: 12 February 2015

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3918

zbMATH Keywords

Neumann-Poincaré operatorspectral boundsplanar domains with corners

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in two dimensions (31A10) Potential operators (47G40)

Related Items (31)

Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance ⋮ Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions ⋮ Double layer potentials on polygons and pseudodifferential operators on Lie groupoids ⋮ Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials ⋮ Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients ⋮ Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry ⋮ Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues ⋮ Spectral properties of the Neumann–Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system ⋮ Spectral resolution of the Neumann-Poincaré operator on intersecting disks and analysis of plasmon resonance ⋮ Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygons ⋮ Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincaré operator ⋮ Spectrum of a diffusion operator with coefficient changing sign over a small inclusion ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ The transmission problem on a three-dimensional wedge ⋮ Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner ⋮ Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum ⋮ The essential spectrum of the Neumann-Poincaré operator on a domain with corners ⋮ Slender-body theory for plasmonic resonance ⋮ Shape reconstruction of nanoparticles from their associated plasmonic resonances ⋮ The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points ⋮ Spectral properties of the Neumann–Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients ⋮ Numerical determination of anomalies in multifrequency electrical impedance tomography ⋮ A decay estimate for the eigenvalues of the Neumann-Poincaré operator using the Grunsky coefficients ⋮ Embedded eigenvalues for the Neumann-Poincaré operator ⋮ Characterization of the essential spectrum of the Neumann-Poincaré operator in 2D domains with corner via Weyl sequences ⋮ Spectral structure of the Neumann-Poincaré operator on tori ⋮ 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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