Nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equations
Nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equations
复制标题
DOI：
10.1016/j.jmaa.2011.07.033
复制
发表时间：
2012-01
影响因子：
1.3
通讯作者：
G. Lv;Mingxin Wang
中科院分区：
文献类型：
--
作者：
G. Lv;Mingxin Wang
研究了非局部时滞反应扩散方程行波解的非线性稳定性。我们证明了在某些指数加权的L∞空间中，当行波波前周围的初始扰动随x→−∞指数衰减时，这些行波波前对扰动是指数稳定的，但在其他位置，初始扰动可以是任意大的.时间衰减率也得到加权能量估计。
This paper is concerned with the nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equation. We prove that these traveling wave fronts are exponentially stable to perturbation in some exponentially weighted L∞spaces, when the initial perturbation around the traveling wave fronts decays exponentially as x→−∞, but the initial perturbation can be arbitrary large in other locations. The time decay rate is also obtained by weighted energy estimates.