Stochastic traveling wave solution to stochastic generalized KPP equation

摘要

In this paper, we consider a stochastic generalized KPP equation driven by a white noise term. Denote u the solution to the equation with Heaviside initial condition . Choosing a suitable marker of wavefront R(t), we prove that is a stationary process and exists almost surely, which verify the existence of stochastic traveling wave solution to the equation.