高维铁磁涟系统与p-调和映射

数学物理学报 ›› 1998, Vol. 18 ›› Issue (1): 33-40.

高维铁磁涟系统与p-调和映射

周春琴

上海交通大学应用数学系上海 200030

收稿日期:1996-04-03 修回日期:1996-12-20 出版日期:1998-03-26 发布日期:1998-03-26
基金资助:
国家自然科学基金资助

High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps

Zhou Chunqin

Diparment of Mathematics, Shanghai Jiaotong University, Shanghai 200030

Received:1996-04-03 Revised:1996-12-20 Online:1998-03-26 Published:1998-03-26

摘要/Abstract

摘要： 研究了与p-Laplace算子对映的铁磁链系统的Landau-Lifshitz方程,证明了该方程的从m(m ≥ 3)维紧流形M(不带边界)映射到R³中的单位球面S²上的整体弱解的存在性;建立了p-调和映射理论与该方程的联系.

关键词: 整体弱解, p-调和映射, Landau-Lifshitz方程

Abstract: In this paper, the Landau-Lifshitz equation of ferromagentic chain systems is considered which is related to p-Laplacc operator, its solution from a m-dim compact manifold M (without houndary) into the unit sphere S² of R³ is shown; Sornc links between p-harmonic maps and its solution are also established.

Key words: Global weak solution, p-harmonic maps, Landau-Lifshitz equation

周春琴. 高维铁磁涟系统与p-调和映射[J]. 数学物理学报, 1998, 18(1): 33-40.

Zhou Chunqin. High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps[J]. Acta mathematica scientia,Series A, 1998, 18(1): 33-40.

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