Long-time behavior of a nonlocal dispersal equation

Abstract

In this thesis, study the nonlocal dispersal equation [equation] with a non-homogeneous boundary condition. We generalize the result of J.W. Sun (2015), where in this work the kernel J has a non-compact support. The global well-posedness and comparison principles (both time-dependent and stationary problems) are established. The main result is the long-time behavior of solutions, which is proved to depend on the boundary data.