On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2
文献类型：期刊论文
| 作者 | Li Dong2; Zhang XiaoYi1 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 55期号:2页码:385-434 |
| 关键词 | NONLINEAR SCHRODINGER-EQUATION DISPERSIVE EVOLUTION-EQUATIONS BLOW-UP SOLUTIONS CRITICAL POWER CAUCHY-PROBLEM GROUND-STATES SINGULARITIES UNIQUENESS STABILITY Schrodinger equation mass critical rigidity |
| ISSN号 | 1674-7283 |
| 其他题名 | On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d≥2 |
| 英文摘要 | For the focusing mass-critical NLS iu(t) + Delta u = |u|(4/d) u, it is conjectured that the only global non-scattering solution with ground state mass must be a solitary wave up to symmetries of the equation. In this paper, we settle the conjecture for H-x(1) initial data in dimensions d = 2,3 with spherical symmetry and d >= 4 with certain splitting-spherically symmetric initial data. |
| 资助项目 | [National Science Foundation] ; [UBC] ; [Alfred P. Sloan fellowship] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4537847 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57125]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.University British Columbia, Dept Math, Vancouver, BC V6T 1Z3, Canada |
| 推荐引用方式 GB/T 7714 | Li Dong,Zhang XiaoYi. On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2[J]. SCIENCE CHINA-MATHEMATICS,2012,55(2):385-434. |
| APA | Li Dong,&Zhang XiaoYi.(2012).On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2.SCIENCE CHINA-MATHEMATICS,55(2),385-434. |
| MLA | Li Dong,et al."On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2".SCIENCE CHINA-MATHEMATICS 55.2(2012):385-434. |
入库方式： OAI收割
来源：数学与系统科学研究院
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