Liouville Type Property and Spreading Speeds of KPP Equations in Periodic Media with Localized Spatial Inhomogeneity

Liang Kong, Wenxian Shen

The current paper is devoted to the study of semilinear dispersal evolution equations of the form $$u_t(t,x)=(\mathcal{A}u)(t,x)+u(t,x)f(t,x,u(t,x)),x\in \mathcal{H},$$ wher…