116 citations · 554 across the 66 of their papers we have counts for
73 papers
The transmission problem with imperfect interfaces of small resistance
Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang
We consider the transmission problem in presence of interfaces with imperfect bonding. The imperfect bonding condition is characterized by the positive resistance along the interfa…
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…
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,…
A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity
Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang
We prove that the space of vector fields on the boundary of a bounded domain with the Lipschitz boundary in three dimensions is decomposed into three subspaces: elements of the fir…
A symmetry theorem in two-phase heat conductors
Hyeonbae Kang, Shigeru Sakaguchi
We consider the Cauchy problem for the heat diffusion equation in the whole Euclidean space consisting of two media with different constant conductivities, where initially one medi…
Spectral properties of the Neumann-Poincaré operator on rotationally symmetric domains in two dimensions
Yong-Gwan Ji, Hyeonbae Kang
This paper concerns the spectral properties of the Neumann-Poincaré operator on -fold rotationally symmetric planar domains. An -fold rotationally symmetric simply connected…