Shigeru Sakaguchi

activity

20082026

most citedNonlinear diffusion with a bounded stationary level surface

18 citations · 55 across the 29 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014

Stationary isothermic surfaces in Euclidean 3-space

Rolando Magnanini, Daniel Peralta-Salas, Shigeru Sakaguchi

Let $Ω$ be a domain in $R^{3}$ with $\partial Ω = \partial (R^{3} ∖ Ω)$ , where $\partial Ω$ is unbounded and connected, and let $u$ be the soluti…

math.AP2014

Interaction between fast diffusion and geometry of domain

Shigeru Sakaguchi

Let $Ω$ be a domain in $R^{N}$ , where $N \geq 2$ and $\partial Ω$ is not necessarily bounded. We consider two fast diffusion equations $\partial_t u= \mbox{div}(|\nabla u|^{p-2…

math.AP2014

When does the heat equation have a solution with a sequence of similar level sets?

Tatsuki Kawakami, Shigeru Sakaguchi

In this paper we consider the overdetermined Cauchy problem for the heat equation. We prove that if the problem has a nontrivial nonnegative solution with a certain sequence of sim…