EXISTENCE AND UNIQUENESS OF SMOOTH SOLUTION FOR SYSTEM OF FERROMAGNETIC CHAIN

被引：0
|
作者：
周毓麟
郭柏灵
谭绍滨
机构：
[1] Center for Nonlinear Studies
[2] Institute of Applied Physics and Computational Mothematics
[3] Beijing 100088. PRC
来源：
Science China Mathematics | 1991年 / 03期
基金：
中国国家自然科学基金;
关键词：
existence and uniqueness; smooth solution; ferromagnetic chain; Landau-Lifshitz equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we are going to consider the initial value problem with periodic boundarycondition and the Cauchy problem associated with the system of ferromagnetic chain withthe Gilbert damping term Z=-εZ×(Z×Z+Z×Z, (ε≥0).The existence of a unique smooth solution is established by using the technique of spatialdifference and crucial a priori estimates of higher-order derivatives in Sobolev spaces.
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页码：257 / 266
页数：10
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