Schrodinger flow on Hermitian locally symmetric spaces
文献类型：期刊论文
| 作者 | Pang, PYH; Wang, HY; Wang, YD |
| 刊名 | COMMUNICATIONS IN ANALYSIS AND GEOMETRY
 |
| 出版日期 | 2002-09-01 |
| 卷号 | 10期号:4页码:653-681 |
| ISSN号 | 1019-8385 |
| 英文摘要 | In this paper, we show that there exist global (inhomogeneous) Schrodinger flows from the real line R-1 as well as the circle S' into Hermitian locally symmetric spaces. Moreover, the Schrodinger flows obey a conservation law. Via the correspondence between the Schrodinger flow on complex Grassmannians and the matrix nonlinear Schrodinger equation (focusing case) on the real line R-1, Terng and Uhlenbeck recently established the existence of global Schrodinger flow from R-1 into complex Grassmannian manifolds using methods of complete integrability and inverse scattering. In a particular case, our result provides a geometric analytic approach to this global existence result on R-1. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183579900001 |
| 出版者 | INT PRESS CO LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17836]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Pang, PYH |
| 作者单位 | 1.Natl Univ Singapore, Dept Math, Singapore 117543, Singapore 2.Yangzhou Univ, Yangzhou 225009, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Pang, PYH,Wang, HY,Wang, YD. Schrodinger flow on Hermitian locally symmetric spaces[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2002,10(4):653-681. |
| APA | Pang, PYH,Wang, HY,&Wang, YD.(2002).Schrodinger flow on Hermitian locally symmetric spaces.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,10(4),653-681. |
| MLA | Pang, PYH,et al."Schrodinger flow on Hermitian locally symmetric spaces".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 10.4(2002):653-681. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。