H. Matano

activity

20072024

most citedThe singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system

8 citations · 43 across the 16 of their papers we have counts for

collaborators

Showing 2010 · math.APShow all

2 papers · 2 filters

math.AP2010

A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations

Xing Liang, Xiaotao Lin, Hiroshi Matano

We consider the equation $u_{t} = u_{xx} + b (x) u (1 - u),$ $x \in R,$ where $b (x)$ is a nonnegative measure on $R$ that is periodic in $x .$ In the case where $b (x)$ is a smoot…

math.AP2010★ 2 cited

Maximizing the spreading speed of KPP fronts in two-dimensional stratified media

Xing Liang, Xiaotao Lin, Hiroshi Matano

We consider the equation $u_{t} = u_{xx} + u_{y y} + b (x) f (u) + g (u)$ , $(x, y) \in R^{2}$ with monostable nonliearity, where $b (x)$ is a nonnegative measure on $R$ that is periodic…