GLOBAL WELL POSEDNESS AND SCATTERING FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS BELOW THE ENERGY SPACE
文献类型：期刊论文
| 作者 | Visan, Monica1; Zhang, Xiaoyi2 |
| 刊名 | DIFFERENTIAL AND INTEGRAL EQUATIONS
 |
| 出版日期 | 2009 |
| 卷号 | 22期号:1-2页码:99-124 |
| ISSN号 | 0893-4983 |
| 英文摘要 | We prove global well posedness and scattering for the nonlinear Schrodinger equation with power-type nonlinearity {iu(t) + Delta u = vertical bar u vertical bar(p)u, 4/n < p < 4/n-2, u(0,x) = u(0)(x) is an element of H(s)(R(n)), n >= 3, below the energy space, i.e., for s < 1. In [15], J. Colliander, M. Keel, G. Staffilani, H. Takaoka, and T. Tao established polynomial growth of the H(x)(s)-norm of the solution, and hence global well posedness for initial data in H(x)(s), provided s is sufficiently close to 1. However, their bounds are insufficient to yield scattering. In this paper, we use the a priori interaction Morawetz inequality to show that scattering holds in H(s)(R(n)) whenever s is larger than some value 0 < s(0)(n,p) < 1. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277328100006 |
| 出版者 | KHAYYAM PUBL CO INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7181]  |
| 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.Univ Calif Los Angeles, Los Angeles, CA 90095 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Visan, Monica,Zhang, Xiaoyi. GLOBAL WELL POSEDNESS AND SCATTERING FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS BELOW THE ENERGY SPACE[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2009,22(1-2):99-124. |
| APA | Visan, Monica,&Zhang, Xiaoyi.(2009).GLOBAL WELL POSEDNESS AND SCATTERING FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS BELOW THE ENERGY SPACE.DIFFERENTIAL AND INTEGRAL EQUATIONS,22(1-2),99-124. |
| MLA | Visan, Monica,et al."GLOBAL WELL POSEDNESS AND SCATTERING FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS BELOW THE ENERGY SPACE".DIFFERENTIAL AND INTEGRAL EQUATIONS 22.1-2(2009):99-124. |
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。