Asymptotic behavior of a nonlocal KPP equation with an almost periodic nonlinearity
Yan Zhang · Discrete and Continuous Dynamical Systems · 2016
We consider a space-inhomogeneous KPP equation with a nonlocal diffusion and an almost-periodic nonlinearity. By employing and adapting the theory of homogenization, we show that solutions of this equation asymptotically converge to its stationary states in regions of space separated by a front that is determined by a Hamilton-Jacobi variational inequality.