Dynamics of Time-Periodic Reaction-Diffusion Equations with Compact Initial Support on R

Weiwei Ding, Hiroshi Matano

This paper is concerned with the asymptotic behavior of bounded solutions of the Cauchy problem \begin{equation*} \left\{ \begin{array}{ll} u_t=u_{xx} +f(t,u), & x\in\mathbb{R},\,t…