Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices
文献类型：期刊论文
| 作者 | Huo, ZH; Jia, YL |
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2005 |
| 卷号 | 26期号:1页码:75-88 |
| 关键词 | Fourier restriction norm trilinear estimates Hirota equation low regularity global well-posedness |
| ISSN号 | 0252-9599 |
| 英文摘要 | The local well-posedness of the Cauchy problem for the Hirota equation is established for low regularity data in Sobolev spaces H-s(s >= -(1)/(4)). Moreover, the global well-posedness for L-2 data follows from the local well-posedness and the conserved quantity. For data in H-s(s > 0), the global well-posedness is also proved. The main idea is to use the generalized trilinear estimates, associated with the Fourier restriction norm method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000228149000006 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2120]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huo, ZH |
| 作者单位 | 1.China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huo, ZH,Jia, YL. Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2005,26(1):75-88. |
| APA | Huo, ZH,&Jia, YL.(2005).Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices.CHINESE ANNALS OF MATHEMATICS SERIES B,26(1),75-88. |
| MLA | Huo, ZH,et al."Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices".CHINESE ANNALS OF MATHEMATICS SERIES B 26.1(2005):75-88. |
入库方式： OAI收割
来源：数学与系统科学研究院
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