| R~3中各向异性Landau-Lifshitz方程的部分正则解 |
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| 引用本文： | 方道元,李太龙.R~3中各向异性Landau-Lifshitz方程的部分正则解[J].数学年刊A辑(中文版),2007(4). |
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| 作者姓名： | 方道元 李太龙 |
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| 作者单位： | 浙江大学数学系 杭州310027 |
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| 基金项目： | 国家自然科学基金(No．10271108，No．10571158)资助的项目。 |
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| 摘 要： | 证明了当三维空间中各向异性Landau-Lifshitz方程的弱解满足稳定性条件时,其解具有部分正则性,并且对易面类型的方程,利用Ginzburg-Landau逼近构造了一个整体的部分正则解。
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| 关 键 词： | 各向异性Landau-Lifshitz方程 部分正则性 存在性 |
Partially Regular Solutions to the Anisotropic Landau-Lifshitz Equation in (?)~3 |
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| FANG Daoyuan LI Tailong.Partially Regular Solutions to the Anisotropic Landau-Lifshitz Equation in (?)~3[J].Chinese Annals of Mathematics,2007(4). |
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| Authors: | FANG Daoyuan LI Tailong |
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| Institution: | FANG Daoyuan~* LI Tailong~* *Department of Mathematics,Zhejiang University,Hangzhou 310027,China. |
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| Abstract: | This paper establishes a partial regularity result under the stability condition for weak solutions to the anisotropic Landau-Lifshitz equation in three space dimensions.More- over,using the Ginzburg-Landau approximation,the authors construct a globally partially regular solution in the easy-plane case. |
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| Keywords: | Anisotropic Landau-Lifshitz equation Partial regularity Existence |
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