Local Schrodinger flow into Kahler manifolds

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	Local Schrodinger flow into Kahler manifolds
	Ding, WY ; Wang, YD
	2001-11-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:11 页码:1446-1464
摘要	In this paper we show that there exists a unique local smooth solution for the Cauchy problem of the Schrodinger flow for maps from a compact Riemannian manifold into a complete Kahler manifold, or from a Euclidean space R-m into a compact Kahler manifold. As a consequence, we prove that Heisenberg spin system is locally well-posed in the appropriate Sobolev spaces.
关键词	Schrodinger flow Heisenberg spin system local existence Kahler manifold
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000173578500011
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16548
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, WY
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Peking Univ, Inst Math, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Ding, WY,Wang, YD. Local Schrodinger flow into Kahler manifolds[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(11):1446-1464.
APA	Ding, WY,&Wang, YD.(2001).Local Schrodinger flow into Kahler manifolds.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(11),1446-1464.
MLA	Ding, WY,et al."Local Schrodinger flow into Kahler manifolds".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.11(2001):1446-1464.