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Schrodinger flow of maps into symplectic manifolds
Ding, WY; Wang, YD
1998-07-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume41Issue:7Pages:746-755
AbstractThe definition of Schrodinger flow is proposed. It is indicated that the flow of ferromagnetic chain is actually Schrodinger flow of maps into S-2, and that there exists a unique local smooth solution for the initial value problem of one-dimensional Schrodinger flow of maps into Kahler manifolds. In case the targets are Kahler manifolds with constant curvature, it is proved that one-dimensional Schrodinger flow admits a unique global smooth solution.
KeywordSchrodinger flow Kahler manifold conservative law sectional curvature
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000074448700009
PublisherSCIENCE PRESS
Citation statistics
Cited Times:51[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13806
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Ding, WY,Wang, YD. Schrodinger flow of maps into symplectic manifolds[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(7):746-755.
APA Ding, WY,&Wang, YD.(1998).Schrodinger flow of maps into symplectic manifolds.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(7),746-755.
MLA Ding, WY,et al."Schrodinger flow of maps into symplectic manifolds".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.7(1998):746-755.
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