Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024368 | Nonlinear Analysis: Real World Applications | 2018 | 13 Pages |
Abstract
In this paper we study nonlinear diffusion problems of the form ut=Îu+f(u) with Robin boundary condition in exterior domain and heterogeneous environment where f(u) is a bistable term. First we prove that the radially symmetric solution converges to its equilibrium locally uniformly in the exterior domain. Then we discuss the existence of some certain equilibrium and obtain a spreading-transition-vanishing trichotomy result. Finally the behavior changes with respect to the initial data are presented.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Xiaowei Liu, Jin Zhang,