Abstract

Of concern is a Fisher type equation with nonlocal reaction term under zero Neumann boundary condition in higher dimensional cylinder. I shall talk about our recent work on the local exponential stability of the traveling waves with noncritical speeds by applying spectral method, and our work on the long  time behavior of solution with more general initial data which decay exponentially at one end or with compact support. It is a joint work with Prof. Xinfu Chen, Prof. King-Yeung Lam and Dr. Qing Li .