4 citations · 12 across the 6 of their papers we have counts for
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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…
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…
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…
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…
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…