Symmetry of Entire Solutions to the Allen-Cahn Equation

被引：0
|
作者：
Gui, Changfeng [1 ]
Zhang, Fang [1 ]
机构：
[1] Univ Connecticut, Sch Math, Storrs, CT 06269 USA
来源：
ADVANCED NONLINEAR STUDIES | 2015年 / 15卷 / 03期
关键词：
Allen-Cahn equation; Hamiltonian identity; level set; symmetry; entire solution; REACTION-DIFFUSION-EQUATIONS; SEMILINEAR ELLIPTIC-EQUATIONS; TRAVELING CURVED FRONTS; PREMIXED BUNSEN FLAMES; DE-GIORGI; GLOBAL STABILITY; BISTABLE FRONTS; KPP EQUATION; LEVEL SETS; R-N;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we shall prove even symmetry of monotone entire solutions to the balanced Allen-Cahn equation with one spatial variable. Related results for the unbalanced Allen-Cahn equation are also discussed.
引用
收藏
页码：587 / 612
页数：26
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