Effect of small noise on the speed of reaction-diffusion equations with non-Lipschitz drift

Clayton Barnes, Leonid Mytnik, Zhenyao Sun

We consider the $[0,1]$-valued solution $(u_{t,x}:t\ge 0,x\in \mathbb{R})$ to the one dimensional stochastic reaction diffusion equation with Wright-Fisher noise \[\partial_t u= \…