The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points
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Publication:1782009
DOI10.1016/j.matpur.2017.10.012zbMath1400.31002arXiv1703.01628OpenAlexW2593989117MaRDI QIDQ1782009
Johan Helsing, Karl-Mikael Perfekt
Publication date: 18 September 2018
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.01628
Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)
Related Items (16)
Maxwell's equations with hypersingularities at a conical plasmonic tip ⋮ Comparison of integral equations for the Maxwell transmission problem with general permittivities ⋮ Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains ⋮ The quasi-static plasmonic problem for polyhedra ⋮ On a Helmholtz transmission problem in planar domains with corners ⋮ The transmission problem on a three-dimensional wedge ⋮ Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum ⋮ Dirac integral equations for dielectric and plasmonic scattering ⋮ An Extended Charge-Current Formulation of the Electromagnetic Transmission Problem ⋮ Embedded eigenvalues for the Neumann-Poincaré operator ⋮ A concavity condition for existence of a negative value in Neumann-Poincaré spectrum in three dimensions ⋮ Spectral structure of the Neumann-Poincaré operator on tori ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review ⋮ Infinitely Many Embedded Eigenvalues for the Neumann--Poincaré Operator in 3D ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
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