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Energy-Critical NLS with Quadratic Potentials

文献类型：期刊论文

作者Killip, Rowan1; Visan, Monica1,2; Zhang, Xiaoyi3
刊名COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
出版日期2009
卷号34期号:12页码:1531-1565
关键词Energy critical Nonlinear Schrodinger equation
ISSN号0360-5302
DOI10.1080/03605300903328109
英文摘要We consider the defocusing [image omitted]-critical nonlinear Schrodinger equation in all dimensions (n epsilon 3) with a quadratic potential [image omitted]. We show global well-posedness for radial initial data obeying delta u0(x), xu0(x)L2. In view of the potential V, this is the natural energy space. In the repulsive case, we also prove scattering. We follow the approach pioneered by Bourgain and Tao in the case of no potential; indeed, we include a proof of their results that incorporates a couple of simplifications discovered while treating the problem with quadratic potential.
资助项目National Science Foundation
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000274422000001
出版者TAYLOR & FRANCIS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8731]  
专题中国科学院数学与系统科学研究院
通讯作者Visan, Monica
作者单位1.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
2.Inst Adv Study, Princeton, NJ 08540 USA
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Killip, Rowan,Visan, Monica,Zhang, Xiaoyi. Energy-Critical NLS with Quadratic Potentials[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2009,34(12):1531-1565.
APA Killip, Rowan,Visan, Monica,&Zhang, Xiaoyi.(2009).Energy-Critical NLS with Quadratic Potentials.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,34(12),1531-1565.
MLA Killip, Rowan,et al."Energy-Critical NLS with Quadratic Potentials".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 34.12(2009):1531-1565.

入库方式： OAI收割

来源：数学与系统科学研究院

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