The quasi-static plasmonic problem for polyhedra
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Publication:6084205
DOI10.1007/s00208-022-02481-xzbMath1526.35245arXiv2103.13071OpenAlexW3139361107MaRDI QIDQ6084205
Karl-Mikael Perfekt, Marta De León-Contreras
Publication date: 31 October 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.13071
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05)
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Cites Work
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- Solvability of a boundary integral equation on a polyhedron
- Single and double layer potentials on domains with conical points. I: Straight cones
- The essential spectrum of the Neumann-Poincaré operator on a domain with corners
- Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
- Comparison of integral equations for the Maxwell transmission problem with general permittivities
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Transformation of boundary problems
- Real and complex interpolation and extrapolation of compact operators
- Boundary layer methods for Lipschitz domains in Riemannian manifolds
- Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains
- Compact linear operators on functional spaces with two norms
- The transmission problem on a three-dimensional wedge
- The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points
- On the spectra of elastostatic and hydrostatic layer potentials on curvilinear polygons.
- Transmission problems and spectral theory for singular integral operators on Lipschitz domains
- On the polarizability and capacitance of the cube
- Maxwell's equations with hypersingularities at a conical plasmonic tip
- Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners
- Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum
- Characterization of the essential spectrum of the Neumann-Poincaré operator in 2D domains with corner via Weyl sequences
- Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance
- Poincaré's variational problem in potential theory
- Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
- Some Historical Remarks on the Positivity of Boundary Integral Operators
- The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains
- Layer Potentials for Elastostatics and Hydrostatics in Curvilinear Polygonal Domains
- Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
- The double layer potential operator over polyhedral domains i: solvability in weighted sobolev spaces
- The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method
- Mathematical and Computational Methods in Photonics and Phononics
- The invetibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. the panel method. erratum
- Infinitely Many Embedded Eigenvalues for the Neumann--Poincaré Operator in 3D
- The Plasmonic Resonances of a Bowtie Antenna
- Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry
- INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES
- Potential theory on Lipschitz domains in Riemannian manifolds: \(L^p\) Hardy, and Hölder space results
- On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries
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