On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities
文献类型：期刊论文
| 作者 | Coron, Jean-Michel2; Xiang, Shengquan3; Zhang, Ping1,4 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2023-02-05 |
| 卷号 | 345页码:1-44 |
| ISSN号 | 0022-0396 |
| 关键词 | Semiclassical Schr?dinger equation Quantum density Quantum momentum Controllability Semiclassical limit |
| DOI | 10.1016/j.jde.2022.11.021 |
| 英文摘要 | In this paper, we study, in the semiclassical sense, the global approximate controllability in small time of the quantum density and quantum momentum of the 1-D semiclassical cubic Schrodinger equation with two controls between two states with positive quantum densities. We first control the asymptotic expansions of the zeroth and first order of the physical observables via the Agrachev-Sarychev method. Then we conclude the proof through techniques of semiclassical approximation of the nonlinear Schrodinger equation. (c) 2022 Elsevier Inc. All rights reserved. |
| 资助项目 | Chair of Partial Differential Equations at EPFL ; K. C. Wong Education Foundation ; NSF of China[12288201] ; NSF of China[11731007] ; NSF of China[12031006] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000897817400001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60503]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xiang, Shengquan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China 2.Sorbonne Univ, Univ Paris Diderot SPC, Equipe CAGE, CNRS,INRIA,Lab Jacques Louis Lions LJLL, F-75005 Paris, France 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Coron, Jean-Michel,Xiang, Shengquan,Zhang, Ping. On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2023,345:1-44. |
| APA | Coron, Jean-Michel,Xiang, Shengquan,&Zhang, Ping.(2023).On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities.JOURNAL OF DIFFERENTIAL EQUATIONS,345,1-44. |
| MLA | Coron, Jean-Michel,et al."On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities".JOURNAL OF DIFFERENTIAL EQUATIONS 345(2023):1-44. |
入库方式： OAI收割
来源：数学与系统科学研究院
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