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Heisenberg自旋链系统的初边值问题
引用本文:董槐林,郭柏灵.Heisenberg自旋链系统的初边值问题[J].数学年刊A辑(中文版),2004(1).
作者姓名:董槐林  郭柏灵
作者单位:厦门大学软件学院,北京应用物理与计算数学研究所 福建 厦门 361005,北京 8009信箱,北京 100088
摘    要:本文研究Heisenberg自旋链系统的非齐次初边值问题光滑解的存在性与唯一性.运用有限差分法与精细的先验估计,对具有Gilbert阻尼的Heisenberg自旋链系统进行了研究.

关 键 词:Heisenberg自旋链  Landau-Lifshitz方程  存在性与唯一性

INITIAL-BOUNDARY VALUE PROBLEM FOR THE SYSTEM OF HEISENBERG SPIN CHAIN
DONG Huailin GUO Boling School of Software,Xiamen University,Xiamen ,Fujian,China.INITIAL-BOUNDARY VALUE PROBLEM FOR THE SYSTEM OF HEISENBERG SPIN CHAIN[J].Chinese Annals of Mathematics,2004(1).
Authors:DONG Huailin GUO Boling School of Software  Xiamen University  Xiamen  Fujian  China
Institution:DONG Huailin GUO Boling School of Software,Xiamen University,Xiamen 361005,Fujian,China. Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China.
Abstract:In this work the existence and uniqueness of smooth solution of the nonhomogeneous initial-boundary value problem for the system of Heisenberg spin chain are studied. To accomplish, the authors first study the system of the Heisenberg spin chain with Gilbert damping by applying the finite difference technics and the delicate a priori estimations.
Keywords:Heisenberg spin chain  Landau-Lifshitz equation  Existence and uniqueness
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