3 citations · 3 across the 9 of their papers we have counts for
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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…
The principal eigenfunction of the Dirichlet Laplacian with prescribed numbers of critical points on the upper half of a topological torus
Putri Zahra Kamalia, Shigeru Sakaguchi
We consider the principal eigenvalue problem for the Laplace-Beltrami operator on the upper half of a topological torus under the Dirichlet boundary condition. We present a constru…
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…
Patterns with prescribed numbers of critical points on topological tori
Putri Zahra Kamalia, Shigeru Sakaguchi
We study the existence of critical points of stable stationary solutions to reaction-diffusion problems on topological tori. Stable nonconstant stationary solutions are often calle…
Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids
Yong-Gwan Ji, Hyeonbae Kang, Xiaofei Li +1
An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be…
A construction of patterns with many critical points on topological tori
Putri Zahra Kamalia, Shigeru Sakaguchi
We consider reaction-diffusion equations on closed surfaces in having genus . Stable nonconstant stationary solutions are often called patterns. The purpose of thi…