| 高维铁磁涟系统与p-调和映射 |
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| 引用本文： | 周春琴. 高维铁磁涟系统与p-调和映射[J]. 数学物理学报(A辑), 1998, 0(1) |
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| 作者姓名： | 周春琴 |
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| 作者单位： | 上海交通大学应用数学系!上海，200030 |
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| 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．
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| 关 键 词： | 整体弱解 P-调和映射 Landau-Lifshitz方程 |
High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps |
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| Zhou Chunqin. High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps[J]. Acta Mathematica Scientia, 1998, 0(1) |
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| Authors: | Zhou Chunqin |
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| 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 hour'dary) into the unit sphere S2 of R3 is shown; Sornc links between p --harmonicmaps and its solution are also established. |
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| Keywords: | Global weak solution p-harmonic maps Landau-Lifshitz equation |
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