17 citations · 70 across the 20 of their papers we have counts for
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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…
A remark on decay rates of odd partitions: An application of spectral asymptotics of the Neumann--Poincaré operators
Yoshihisa Miyanishi
We introduce a theorem currently proved unique by the asymptotic behaviors of eigenvalues of a compact operator. Specifically, a problem of partitions is considered and the Neumann…
Decay rate of the eigenvalues of the Neumann-Poincaré operator
Shota Fukushima, Hyeonbae Kang, Yoshihisa Miyanishi
If the boundary of a domain in three dimensions is smooth enough, then the decay rate of the eigenvalues of the Neumann-Poincaré operator is known and it is optimal. In this paper,…