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The stationary critical points of the fractional heat flow
Nicola De Nitti, Shigeru Sakaguchi
We study the spatial critical points of the solutions of the fractional heat equation. For the Cauchy problem, we show that the origin satisfies $\nabla_x u(0,t) = 0…
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…