Non-constant stable solutions to Landau-Lifshitz equation

被引：20
|
作者：
Zhai, J [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1998年 / 7卷 / 02期
关键词：
D O I：
10.1007/s005260050104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of solutions to the static Landau-Lifshitz equation corresponding to the homotopy classes of continuous functions from Omega --> S(2) boolean AND {u(3) = 0}. Here boolean AND is a non-simply connected bounded domain in R(3) The stability of the solutions to the time-dependent Landau-Lifshitz equation is also obtained.
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页码：159 / 171
页数：13
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