Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry

DOI10.1090/spmj/1602OpenAlexW3005112976WikidataQ114848711 ScholiaQ114848711MaRDI QIDQ5216168

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Publication date: 14 February 2020

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00582

zbMATH Keywords

eigenvaluespseudodifferential operatorsNeumann-Poincaré operatorWeyl's lawWillmore energy

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eigenvalue problems for linear operators (47A75)

Related Items (14)

Modal approximation for plasmonic resonators in the time domain: the scalar case ⋮ Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems ⋮ Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry ⋮ The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity ⋮ Quantum ergodicity and localization of plasmon resonances ⋮ A short note on decay rates of odd partitions: an application of spectral asymptotics of the Neumann-Poincaré operators ⋮ The quasi-static plasmonic problem for polyhedra ⋮ Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions ⋮ Surface concentration of transmission eigenfunctions ⋮ Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations ⋮ Surface Localization of Plasmons in Three Dimensions and Convexity ⋮ Convergence rate for eigenvalues of the elastic Neumann-Poincaré operator in two dimensions ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review

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