7 citations · 15 across the 11 of their papers we have counts for
17 papers
Circle Foliations Revisited: Periods of Flows whose Orbits are all Closed
Yoshihisa Miyanishi
Our purpose here is to adapt the results of Geodesic circle foliations for Reeb flows or Hamiltonian flows on contact manifolds. Consequently, all periods are exactly the same if t…
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…
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,…
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…