Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R
文献类型：期刊论文
| 作者 | Colliander, James1; Holmer, Justin2; Visan, Monica; Zhang, Xiaoyi3 |
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
 |
| 出版日期 | 2008-05-01 |
| 卷号 | 7期号:3页码:467-489 |
| 关键词 | nonlinear Schrodinger equation well-posedness scattering Morawetz inequality |
| ISSN号 | 1534-0392 |
| 英文摘要 | We consider the Cauchy problem for a family of semilinear defocusing Schrodinger equations with monomial nonlinearities in one space dimension. We establish global well-posedness and scattering. Our analysis is based on a four-particle interaction Morawetz estimate giving a priori L-t,x(8) spacetime control on solutions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254121600001 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6159]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Colliander, James |
| 作者单位 | 1.Univ Toronto, Toronto, ON, Canada 2.Univ Calif Berkeley, Berkeley, CA 94720 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Colliander, James,Holmer, Justin,Visan, Monica,et al. Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2008,7(3):467-489. |
| APA | Colliander, James,Holmer, Justin,Visan, Monica,&Zhang, Xiaoyi.(2008).Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,7(3),467-489. |
| MLA | Colliander, James,et al."Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 7.3(2008):467-489. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。