On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class
文献类型：期刊论文
| 作者 | Visan, Monica; Zhang, Xiaoyi |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2007 |
| 卷号 | 39期号:1页码:34-56 |
| 关键词 | nonlinear Schrodinger equation blowup I-method |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/060663969 |
| 英文摘要 | We consider the focusing mass-critical nonlinear Schrodinger equation and prove that blowup solutions to this equation with initial data in H-s(R-d), s > s(0)(d) and d >= 3, concentrate at least the mass of the ground state at the blowup time. This extends recent work by Colliander et al. [Math. Res. Lett., 12 ( 2005), pp. 357-375], Hmidi and Keraani [Remarks on the Blowup for the L-2-Critical Nonlinear Schrodinger Equations, preprint], and Tzirakis [SIAM J. Math. Anal., 37 (2006), pp. 1923-1946] on the blowup of the two-dimensional and one-dimensional mass-critical focusing nonlinear Schrodinger equation below the energy space to all dimensions d >= 3. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247647500002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5015]  |
| 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.Inst Adv Study, Sch Math, Princeton, NJ 08540 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Visan, Monica,Zhang, Xiaoyi. On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2007,39(1):34-56. |
| APA | Visan, Monica,&Zhang, Xiaoyi.(2007).On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,39(1),34-56. |
| MLA | Visan, Monica,et al."On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 39.1(2007):34-56. |
入库方式： OAI收割
来源：数学与系统科学研究院
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