5 citations · 6 across the 11 of their papers we have counts for
11 papers
Ellipsoidal characterization of neutral inclusions for imperfect bonding of high-conductivity type
Junyong Eom, Shota Fukushima, Yong-Gwan Ji +3
This paper concerns neutral inclusions for imperfect bonding of high-conductivity type. An inclusion, which is a bounded domain, is said to be of imperfect bonding of high-conducti…
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…
Finiteness of the stress in presence of closely located inclusions with imperfect bonding
Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang +1
If two conducting or insulating inclusions are closely located, the gradient of the solution may become arbitrarily large as the distance between inclusions tends to zero, resultin…
Decompositions of surface vector fields and topological characterizations of the codimensions
Shota Fukushima, Hyeonbae Kang
We prove that the space of vector fields on the boundary of a bounded domain in three dimensions is decomposed into three subspaces orthogonal to each other: elements of the first…
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…
Semiclassical pseudodifferential operators and resolvent parametrices on manifolds with ends
Shota Fukushima
We construct a parametrix of a resolvent of elliptic differential operators acting on half-densities on manifolds with ends. The construction is carried out by introducing suitable…
Propagation of singularities under Schrödinger equations on manifolds with ends
Shota Fukushima
We prove a microlocal smoothing effect of Schrödinger equations on manifolds. We employ radially homogeneous wavefront sets introduced by Ito and Nakamura (Amer. J. Math., 2009). I…
boundedness of pseudodifferential operators on manifolds with ends
Shota Fukushima
We investigate properties of pseudodifferential operators on space on manifold with ends including asymptotically conical or hyperbolic ends. Our pseudodifferential operators…
Time-slicing approximation of Feynman path integrals on compact manifolds
Shota Fukushima
We construct fundamental solutions to the time-dependent Schrödinger equations on compact manifolds by the time-slicing approximation of the Feynman path integral. We show that the…