4 citations · 12 across the 6 of their papers we have counts for
11 papers
Spectral structure of the Neumann-Poincaré operator on thin ellipsoids and flat domains
Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee +1
We investigate the spectral structure of the Neumann-Poincaré operator on thin ellipsoids. Two types of thin ellipsoids are considered: long prolate ellipsoids and flat oblate elli…
Surface localization of plasmons in three dimensions and convexity
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
The Neumann--Poincaré operator defined on a smooth surface has a sequence of eigenvalues converging to zero, and the single layer potentials of the corresponding eigenfunctions, ca…
Spectral structure of the Neumann--Poincaré operator on thin domains in two dimensions
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
We consider the spectral structure of the Neumann--Poincaré operators defined on the boundaries of thin domains of rectangle shape in two dimensions. We prove that as the aspect ra…
Spectral analysis of Neumann-Poincaré operator
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
This is a survey of accumulated spectral analysis observations spanning more than a century, referring to the double layer potential integral equation, also known as Neumann-Poinca…
Inverse scattering on the quantum graph -- Edge model for graphen
Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev +1
We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported, we show that the S…
Convergence rate for eigenvalues of the elastic Neumann--Poincaré operator on smooth and real analytic boundaries in two dimensions
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
The elastic Neumann--Poincaré operator is a boundary integral operator associated with the Lamé system of linear elasticity. It is known that if the boundary of a planar domain is…