The Cauchy problem of generalized Landau-Lifshitz equation into S (n)

CSpace

	The Cauchy problem of generalized Landau-Lifshitz equation into S (n)
其他题名	The Cauchy problem of generalized Landau-Lifshitz equation into Sn
	Song Chong 1; Yu Jie 2
	2013
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	56 期号:2 页码:283-300
摘要	In this paper, we study the Cauchy problem of an integrable evolution system, i.e., the n-dimensional generalization of third-order symmetry of the well-known Landau-Lifshitz equation. By rewriting this equation in a geometric form and applying the geometric energy method with a forth-order perturbation, we show the global well-posedness of the Cauchy problem in suitable Sobolev spaces.
其他摘要	In this paper,we study the Cauchy problem of an integrable evolution system,i.e.,the n-dimensional generalization of third-order symmetry of the well-known Landau-Lifshitz equation.By rewriting this equation in a geometric form and applying the geometric energy method with a forth-order perturbation,we show the global well-posedness of the Cauchy problem in suitable Sobolev spaces.
关键词	SCHRODINGER FLOW KAHLER-MANIFOLDS MAPS generalized Landau-Lifshitz geometric energy method
收录类别	CSCD
语种	英语
资助项目	[National Basic Research Program of China]
CSCD记录号	CSCD:4770173
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52724
专题	中国科学院数学与系统科学研究院
作者单位	1.厦门大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Song Chong,Yu Jie. The Cauchy problem of generalized Landau-Lifshitz equation into S (n)[J]. SCIENCE CHINA-MATHEMATICS,2013,56(2):283-300.
APA	Song Chong,&Yu Jie.(2013).The Cauchy problem of generalized Landau-Lifshitz equation into S (n).SCIENCE CHINA-MATHEMATICS,56(2),283-300.
MLA	Song Chong,et al."The Cauchy problem of generalized Landau-Lifshitz equation into S (n)".SCIENCE CHINA-MATHEMATICS 56.2(2013):283-300.