Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equation

被引:43
作者
Bates, PW
Chen, FX [1 ]
机构
[1] Univ Texas, Div Math & Stat, San Antonio, TX 78249 USA
[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
关键词
D O I
10.1016/S0022-247X(02)00205-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the spectrum of linearized operator about a traveling wave for the nonlocal Allen-Cahn equation is estimated and the result is applied to study multidimensional stability of planar waves. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:45 / 57
页数:13
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