CHARACTERIZATION OF MINIMAL-MASS BLOWUP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS
文献类型：期刊论文
| 作者 | Killip, Rowan1,2; Li, Dong2; Visan, Monica2; Zhang, Xiaoyi2,3 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2009 |
| 卷号 | 41期号:1页码:219-236 |
| 关键词 | characterization blowup solutions focusing NLS |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/080720358 |
| 英文摘要 | Let d >= 4 and let u be a global solution to the focusing mass-critical nonlinear Schrodinger equation iu(t) + Delta u = -vertical bar u vertical bar(4/d) u with spherically symmetric H(x)(1) initial data and mass equal to that of the ground state Q. We prove that if u does not scatter, then, up to phase rotation and scaling, u is the solitary wave e(it)Q. Combining this result with that of Merle [Duke Math. J., 69 (1993), pp. 427 - 453], we obtain that in dimensions d >= 4, the only spherically symmetric minimal-mass nonscattering solutions are, up to phase rotation and scaling, the pseudoconformal ground state and the ground state solitary wave. |
| 资助项目 | National Science Foundation[DMS-0635607] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266019600009 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8913]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Killip, Rowan |
| 作者单位 | 1.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 2.Inst Adv Study, Sch Math, Princeton, NJ 08540 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Killip, Rowan,Li, Dong,Visan, Monica,et al. CHARACTERIZATION OF MINIMAL-MASS BLOWUP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2009,41(1):219-236. |
| APA | Killip, Rowan,Li, Dong,Visan, Monica,&Zhang, Xiaoyi.(2009).CHARACTERIZATION OF MINIMAL-MASS BLOWUP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,41(1),219-236. |
| MLA | Killip, Rowan,et al."CHARACTERIZATION OF MINIMAL-MASS BLOWUP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 41.1(2009):219-236. |
入库方式： OAI收割
来源：数学与系统科学研究院
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