59 citations · 130 across the 20 of their papers we have counts for
21 papers
A remark on the absence of eigenvalues in continuous spectra for discrete Schrödinger operators on periodic lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We prove a Rellich-Vekua type theorem for Schrödinger operators with exponentially decreasing potentials on a class of lattices including square, triangular, hexagonal lattices and…
Carleman factorization of layer potentials on smooth domains
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces of Euclidean space is the factorization of the Neumann-Poincaré operator into a product…
Generic properties of the Neumann-Poincaré operator: simplicity of eigenvalues and cyclic vectors
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
Two generic properties of the Neumann--Poincaré operator are investigated. We prove that non-zero eigenvalues of the Neumann--Poincaré operator on smooth boundaries in three dimens…
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…
Inverse scattering on the quantum graph for graphene
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 and symmetric, we s…
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…
Spectral structure of the Neumann--Poincaré operator on tori
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We address the question whether there is a three-dimensional bounded domain such that the Neumann--Poincaré operator defined on its boundary has infinitely many negative eigenvalue…
The first Hadamard variation of Neumann-Poincaré eigenvalues on the sphere
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
The Neumann-Poincaré operator on the sphere has , , as its eigenvalues and the corresponding multiplicity is . We consider the bifurcation…
Inverse scattering for Schrödinger operators on perturbed lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We study the inverse scattering for Schr{ö}dinger operators on locally perturbed periodic lattices. We show that the associated scattering matrix is equivalent to the Dirichlet-to-…
Elastic Neumann-Poincaré operators on three dimensional smooth domains: Polynomial compactness and spectral structure
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
We prove that the elastic Neumann--Poincaré operator defined on the smooth boundary of a bounded domain in three dimensions, which is known to be non-compact, is in fact polynomial…
Cloaking by anomalous localized resonance for linear elasticity on a coated structure
Kazunori Ando, Hyeonbae Kang, Kyoungsun Kim +1
We investigate anomalous localized resonance on the circular coated structure and cloaking related to it in the context of elasto-static systems. The structure consists of the circ…
Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
We show that the eigenvalues of the Neumann-Poincaré operator on analytic boundaries of simply connected bounded planar domains tend to zero exponentially fast, and the exponential…
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We first investigate spectral properties of the Neumann-Poincaré (NP) operator for the Lamé system of elasto-statics. We show that the elasto-static NP operator can be symmetrized…
Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions
Kazunori Ando, Hyeonbae Kang, Hongyu Liu
We study resonance for the Helmholz equation with a finite frequency in a plasmonic material of negative dielectric constant in two and three dimensions. We show that the quasi-sta…
Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincaré operators
Kazunori Ando, Hyeonbae Kang
We investigate in a quantitative way the plasmon resonance at eigenvalues and the essential spectrum (the accumulation point of eigenvalues) of the Neumann-Poincaré operator on smo…
Spectral Properties of Schrödinger Operators on Perturbed Lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We study the spectral properties of Schrödinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorpti…
Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice
Kazunori Ando
We consider the spectral theory for discrete Schrödinger operators on the hexagonal lattice and their inverse scattering problem. We give a procedure for reconstructing the compact…