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math.SP2023
Spectral structure of the Neumann-Poincaré operator on axially symmetric functions
Shota Fukushima, Hyeonbae Kang
We consider the Neumann-Poincaré operator on a three-dimensional axially symmetric domain which is generated by rotating a planar domain around an axis which does not intersect the…
math.SP2023
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,…