Propagation acceleration in reaction diffusion equations with anomalous diffusions

Jérôme Coville, Changfeng Gui, Mingfeng Zhao

In this paper, we are interested in the properties of solution of the nonlocal equation $$\begin{cases}u_t+(-Δ)^su=f(u),\quad t>0, \ x\in\mathbb{R}\\ u(0,x)=u_0(x),\quad x\in\mathb…