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.

引用

页码：257 / 266

页数：10

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