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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…
math.AP2022
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…