Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837535 | Nonlinear Analysis: Real World Applications | 2012 | 12 Pages |
Abstract
This paper is concerned with nonlinear stability of traveling wave fronts for a delayed reaction diffusion system. We prove that the traveling wave front is exponentially stable to perturbation in some exponentially weighted L∞L∞ spaces, when the difference between initial data and traveling wave front decays exponentially as x→−∞x→−∞, but the initial data can be suitable large in other locations. Moreover, the time decay rates are obtained by weighted energy estimates.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Guangying Lv, Mingxin Wang,