Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions
文献类型：期刊论文
| 作者 | Tao, Terence; Visan, Monica; Zhang, Xiaoyi |
| 刊名 | DUKE MATHEMATICAL JOURNAL
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 140期号:1页码:165-202 |
| ISSN号 | 0012-7094 |
| 英文摘要 | We establish global well-posedness and scattering for solutions to the defocusing mass-critical (pseudoconformal) nonlinear Schrodinger equation iu(t) + Delta u = vertical bar u vertical bar(4/n) u for large, spherically symmetric, L-x(2) (R-n) initial data in dimensions n >= 3. After using the concentration-compactness reductions in [32] to reduce to eliminating blow-up solutions that are almost periodic modulo scaling, we obtain a fiequency-localized Morawetz estimate and exclude a mass evacuation scenario (somewhat analogously to [10], [23], [36]) in order to conclude the argument. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000250079200005 |
| 出版者 | DUKE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5278]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tao, Terence |
| 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 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tao, Terence,Visan, Monica,Zhang, Xiaoyi. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions[J]. DUKE MATHEMATICAL JOURNAL,2007,140(1):165-202. |
| APA | Tao, Terence,Visan, Monica,&Zhang, Xiaoyi.(2007).Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions.DUKE MATHEMATICAL JOURNAL,140(1),165-202. |
| MLA | Tao, Terence,et al."Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions".DUKE MATHEMATICAL JOURNAL 140.1(2007):165-202. |
入库方式： OAI收割
来源：数学与系统科学研究院
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