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math.AP2021
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…
math.AP2021
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…