Scattering for the focusing (H) over dot(1/2)-critical Hartree equation in energy space
文献类型：期刊论文
| 作者 | Gao, Yanfang1; Wu, Haigen2,3 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2010-08-15 |
| 卷号 | 73期号:4页码:1043-1056 |
| 关键词 | Hartree equation Scattering Profile decomposition Blow-up |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2010.04.033 |
| 英文摘要 | We investigate the focusing nonlinear Schrodinger equation (NLS) of Hartree type i partial derivative(t)u + Delta u = -(vertical bar . vertical bar(2-d) * vertical bar u vertical bar(2))u in R-5 with initial data in energy space H-1. If M[u(0)]E[u(0)] < M[Q]E[Q], parallel to u(0)parallel to(2)parallel to del u(0)parallel to(2) < parallel to Q parallel to(2)parallel to del Q parallel to(2). Then the solution with initial data u(0) is global and scatters. Here Q is the ground state solution. Moreover, we show that if M[u(0)]E[u(0)] < M[Q]E[Q], but parallel to u(0)parallel to(2)parallel to del u(0)parallel to(2) > parallel to Q parallel to(2)parallel to del Q parallel to(2), then the corresponding solution will blow up in finite time. The argument of this work is based on the linear profile decomposition, in the spirit of Kenig-Merle. (C) 2010 Elsevier Ltd. All rights reserved. |
| 资助项目 | NNSF of China[10771052] ; NNSF of China[10801015] ; Xu Guozhi Postdoctoral Foundation |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278546300019 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9902]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gao, Yanfang |
| 作者单位 | 1.Jilin Univ, Inst Math, Changchun 130012, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China 3.Henan Polytech Univ, Sch Math, Jiaozuo 454000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, Yanfang,Wu, Haigen. Scattering for the focusing (H) over dot(1/2)-critical Hartree equation in energy space[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2010,73(4):1043-1056. |
| APA | Gao, Yanfang,&Wu, Haigen.(2010).Scattering for the focusing (H) over dot(1/2)-critical Hartree equation in energy space.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,73(4),1043-1056. |
| MLA | Gao, Yanfang,et al."Scattering for the focusing (H) over dot(1/2)-critical Hartree equation in energy space".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 73.4(2010):1043-1056. |
入库方式： OAI收割
来源：数学与系统科学研究院
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