Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system

被引：3
|
作者：
Guo, Jong-Shenq [1 ]
Wu, Chang-Hong [1 ]
机构：
[1] Natl Taiwan Normal Univ, Dept Math, Taipei 116, Taiwan
来源：
OSAKA JOURNAL OF MATHEMATICS | 2008年 / 45卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study traveling waves for a two-dimensional lattice dynamical system with monostable nonlinearity. We prove that there is a minimal speed Such that a traveling wave exists if and only if its speed is above this minimal speed. Then we show the uniqueness (LIP to translations) of wave profile for each given speed. Moreover, any wave profile is strictly monotone.
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页码：327 / 346
页数：20
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