Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations
文献类型：期刊论文
| 作者 | Miao, Changxing; Zhang, Bo
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2007 |
| 卷号 | 17期号:1页码:181-200 |
| 关键词 | Schrodinger-type equations Strichartz estimates Besov spaces well-posedness Cauchy problem |
| ISSN号 | 1078-0947 |
| 英文摘要 | In this paper the global well-posedness in L-2 and H-m of the Cauchy problem is proved for nonlinear Schrodinger-type equations. This we do by establishing regular Strichartz estimates for the corresponding linear equations and some nonlinear a priori estimates in the framework of Besov spaces. We further establish the regularity of the H-m-solution to the Cauchy problem. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241725500011 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4228]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Miao, Changxing |
| 作者单位 | 1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Miao, Changxing,Zhang, Bo. Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2007,17(1):181-200. |
| APA | Miao, Changxing,&Zhang, Bo.(2007).Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,17(1),181-200. |
| MLA | Miao, Changxing,et al."Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 17.1(2007):181-200. |
入库方式： OAI收割
来源：数学与系统科学研究院
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