18 citations · 55 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
Polarization tensor vanishing structure of general shape: Existence for small perturbations of balls
Hyeonbae Kang, Xiaofei Li, Shigeru Sakaguchi
The polarization tensor is a geometric quantity associated with a domain. It is a signature of the small inclusion's existence inside a domain and used in the small volume expansio…
A characterization of a hyperplane in two-phase heat conductors
Lorenzo Cavallina, Shigeru Sakaguchi, Seiichi Udagawa
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 has…
Some characterizations of parallel hyperplanes in multi-layered heat conductors
Shigeru Sakaguchi
We consider the Cauchy problem for the heat diffusion equation in the whole space consisting of three layers with different constant conductivities, where initially the upper and m…