Spectrum of the Neumann-Poincaré operator for ellipsoids and tunability

DOI10.1007/s00020-016-2280-7zbMath1336.35259OpenAlexW2266713641MaRDI QIDQ285607

Hyeonbae Kang, Tingting Feng

Publication date: 19 May 2016

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-016-2280-7

zbMATH Keywords

spectrumellipsoidoblate spheroidNeumann-Poincaré operatorprolate spheroidtunability

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Second-order elliptic systems (35J47)

Related Items (5)

Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ Analytical results regarding electrostatic resonances of surface phonon/plasmon polaritons: separation of variables with a twist ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincaré operator
• On the eigenvalues of the electrostatic integral operator
• On the eigenvalues of the electrostatic integral operator. II
• Verified computation of Lamé functions with high accuracy
• An inverse problem for the double layer potential
• Poincaré's variational problem in potential theory
• Symmetry of a boundary integral operator and a characterization of a ball

This page was built for publication: Spectrum of the Neumann-Poincaré operator for ellipsoids and tunability