116 citations · 554 across the 66 of their papers we have counts for
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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…
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…
Spectrum of the Neumann-Poincaré operator and optimal estimates for transmission problems in presence of two circular inclusions
Yong-Gwan Ji, Hyeonbae Kang
We consider the field concentration for the transmission problems of the homogeneous and inhomogeneous conductivity equations in the presence of closely located circular inclusions…
Large time behavior of temperature 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. The large time behavior…
Surface localization of plasmons in three dimensions and convexity
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
The Neumann--Poincaré operator defined on a smooth surface has a sequence of eigenvalues converging to zero, and the single layer potentials of the corresponding eigenfunctions, ca…