Some remarks on the structure of finite Morse index solutions to the Allen-Cahn equation in R2

被引：0
|
作者：
Wang, Kelei [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat & Computat Sci, Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2017年 / 24卷 / 05期
关键词：
Finite Morse index solution; Phase transition; Allen-Cahn; Minimal surface; PLANE; SPACE;
D O I：
10.1007/s00030-017-0481-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a solution of the Allen-Cahn equation in R-2, under the natural linear growth energy bound, we show that the blowing down limit is unique. Furthermore, if the solution has finite Morse index, the blowing down limit satisfies the multiplicity one property.
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页数：17
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