On the Cauchy problem for Gross-Pitaevskii hierarchies
文献类型：期刊论文
| 作者 | Chen, Zeqian1; Liu, Chuangye2 |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 52期号:3页码:032103-32103 |
| 产权排序 | 第一 |
| 通讯作者 | Chen,ZQ ; Liu,CY |
| 英文摘要 | The purpose of this paper is to investigate the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on R(n), n >= 1. We prove local existence and uniqueness of solutions in certain Sobolev-type spaces H(xi)(alpha) of sequences of marginal density operators with alpha > n/2. In particular, we give a clear discussion of all cases alpha > n/2, which covers the local well-posedness problem for the Gross-Pitaevskii hierarchy in this situation. (C) 2011 American Institute of Physics. [doi:10.1063/1.3567168] |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | BOSE-GAS ; DERIVATION ; CONDENSATE ; EQUATION ; DYNAMICS ; SYSTEMS ; VORTEX |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000289152100003 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1812]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zeqian,Liu, Chuangye. On the Cauchy problem for Gross-Pitaevskii hierarchies[J]. JOURNAL OF MATHEMATICAL PHYSICS,2011,52(3):032103-32103. |
| APA | Chen, Zeqian,&Liu, Chuangye.(2011).On the Cauchy problem for Gross-Pitaevskii hierarchies.JOURNAL OF MATHEMATICAL PHYSICS,52(3),032103-32103. |
| MLA | Chen, Zeqian,et al."On the Cauchy problem for Gross-Pitaevskii hierarchies".JOURNAL OF MATHEMATICAL PHYSICS 52.3(2011):032103-32103. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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