Shigeru Sakaguchi

activity

20102015

most citedInteraction between nonlinear diffusion and geometry of domain

2 citations · 4 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.AP2015★ 2 cited

An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions

Hyeonbae Kang, Hyundae Lee, Shigeru Sakaguchi

We consider the neutral inclusion problem in three dimensions which is to prove if a coated structure consisting of a core and a shell is neutral to all uniform fields, then the co…

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.AP2012

Stationary level surfaces and Liouville-type theorems characterizing hyperplanes

Shigeru Sakaguchi

We consider an entire graph $S$ in $R^{N + 1}$ of a continuous real function $f$ over $R^{N}$ with $N \geq 1$ . Let $Ω$ be an unbounded domain in $R^{N + 1}$ with…

math.AP2010★ 2 cited

Interaction between nonlinear diffusion and geometry of domain

Rolando Magnanini, Shigeru Sakaguchi

Let $Ω$ be a domain in $R^{N}$ , where $N \geq 2$ and $\partial Ω$ is not necessarily bounded. We consider nonlinear diffusion equations of the form $\partial_{t} u = Δ ϕ (u)$ . Let $…