| Schroedinger Flows on Compact Hermitian Symmetric Spaces and Related Problems |
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| 引用本文： | WeiYueDING HongYuWANG YouDeWANG. Schroedinger Flows on Compact Hermitian Symmetric Spaces and Related Problems[J]. 数学学报(英文版), 2003, 19(2): 303-312. DOI: 10.1007/s10114-003-0263-5 |
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| 作者姓名： | WeiYueDING HongYuWANG YouDeWANG |
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| 作者单位： | [1]InstituteofMathematics,PekingUniversity,Beijing100871,P.R.ChinaandInstituteofMazthematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,P.R.China [2]DepartmentofMathematics,YangzhouUniversity,Yangzhou225002,P.R.China [3]InstituteofMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,P.R.China |
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| 摘 要： | In this note,we prove that the Schroedinger flow of maps from a closed riemann surface into a compact irreducible Hermitian symmetic space admits a global weak solution.Also,we show the existence of weak solutions to the initial value problem of Heisenberg model with Lie algebra values,which is closely related to the Schroedinger flow on compact Hermitian symmetric spaces.
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| 关 键 词： | Schroedinger流 紧Hermit对称空间 Heisenberg模型 黎曼流形 Kaehler流形 “广义Da Rios方程” 全局弱解 抛物逼近 调和映射 |
| 收稿时间： | 2001-09-05 |
Schrödinger Flows on Compact Hermitian Symmetric Spaces and Related Problems |
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| Wei?Yue?DingEmail author,Hong?Yu?Wang,You?De?Wang. Schrödinger Flows on Compact Hermitian Symmetric Spaces and Related Problems[J]. Acta Mathematica Sinica(English Series), 2003, 19(2): 303-312. DOI: 10.1007/s10114-003-0263-5 |
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| Authors: | Wei?Yue?Ding author-information" > author-information__contact u-icon-before" > mailto:dingwy@math.pku.edu.cn" title=" dingwy@math.pku.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Hong?Yu?Wang,You?De?Wang |
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| Affiliation: | (1) Institute of Mathematics, Peking University, Beijing 100871, P. R. China;(2) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China;(3) Department of Mathematics, Yangzhou University, Yangzhou 225002, P. R. China;(4) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China |
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| Abstract: | In this note, we prove that the Schrödinger flow of maps from a closed Rieman surface into a compact irreducible Hermitian symmetric space admits a global weak solution. Also, we show the existence of weak solutions to the initial value problem of Heisenberg model wit Lie algebra values, which is closely related to the Schrödinger flow on compact Hermitian symmetric spaces. |
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| Keywords: | Schr?dinger flow Heisenberg model Compact Hermitian symmetric space |
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