GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (4): 429-436.

GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

郭柏灵, 王碧祥

Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China

收稿日期:1995-09-10 修回日期:1996-07-03 出版日期:1997-12-25 发布日期:1997-12-25
基金资助:
The second author supported by the Postdoctoral Foundation of China.

GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

Guo Boling, Wang Bixiang

Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China

Received:1995-09-10 Revised:1996-07-03 Online:1997-12-25 Published:1997-12-25
Supported by:
The second author supported by the Postdoctoral Foundation of China.

摘要/Abstract

摘要： In this paper, we establish the global existence of the solution for the Landau-Lifshitz equation of the ferromagnetic spin chain. By Galerkin method, we first show the existence of the local solution for this equation, and then by a priori estimates method, we extend the local solution to a global solution.

关键词: Existence and uniqueness, local solution, global solution, Landau-Lifshitz equation

Abstract: In this paper, we establish the global existence of the solution for the Landau-Lifshitz equation of the ferromagnetic spin chain. By Galerkin method, we first show the existence of the local solution for this equation, and then by a priori estimates method, we extend the local solution to a global solution.

Key words: Existence and uniqueness, local solution, global solution, Landau-Lifshitz equation

郭柏灵, 王碧祥. GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN[J]. 数学物理学报(英文版), 1997, 17(4): 429-436.

Guo Boling, Wang Bixiang. GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN[J]. Acta mathematica scientia,Series B, 1997, 17(4): 429-436.

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GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

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