Spectral structure of the Neumann-Poincaré operator on tori

DOI10.1016/j.anihpc.2019.05.002OpenAlexW2963181224MaRDI QIDQ2334990

Daisuke Kawagoe, Yong-Gwan Ji, Hyeonbae Kang, Yoshihisa Miyanishi, Kazunori Ando

Publication date: 13 November 2019

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09693

zbMATH Keywords

torinegative eigenvaluesNeumann-Poincaré operatorstationary phase method

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (7)

Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ Quantum ergodicity and localization of plasmon resonances ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry ⋮ A concavity condition for existence of a negative value in Neumann-Poincaré spectrum in three dimensions ⋮ Surface Localization of Plasmons in Three Dimensions and Convexity ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review

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