Almost periodic traveling waves of nonlocal evolution equations
The author considers a nonlocal version of the reaction-diffusion equation. It is assumed that the corresponding reaction equation is bistable, i.e. it has exactly three almost periodic solutions \(u_- < u_0 < u_+\) such that \(u_{\pm}\) is stable and \(u_0\) unstable. The main result is the existence of an almost periodic traveling wave that connects \(u_-\) and \(u_+\).
scientific article; zbMATH DE number 1788042