Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation
文献类型：期刊论文
| 作者 | Guo, Boling1; Huo, Zhaohui2 ; Fang, Shaomei3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2017-11-05 |
| 卷号 | 263期号:9页码:5696-5726 |
| 关键词 | Well-posedness Fifth order Kadomtsev-Petviashvili-I equation Dyadic X-s,X-b spaces |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2017.06.032 |
| 英文摘要 | The Cauchy problem of the fifth order Kadomtsev-Petviashvili-I equation (fifth-KP-1)
partial derivative(t)u + partial derivative(5)(x)u +/- partial derivative(3)(x)u - partial derivative(-1)(x)partial derivative(yy)u+partial derivative(x)(u(2)) = 0, (x, y, t) epsilon R-3;
is considered.
It follows that the fifth order Kadomtsev-Petviashvili-I equation (0.1) is locally well -posed in H-s,H-O with s >= -3/4, where the norm H-s,H-r is defined by ||f || H-(x.y)(s,r) = || |
| 资助项目 | NSFC[11471323] ; NSFC[11271141] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000410871900018 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26586]  |
| 专题 | 数学所 |
| 通讯作者 | Huo, Zhaohui |
| 作者单位 | 1.Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.South China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Boling,Huo, Zhaohui,Fang, Shaomei. Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(9):5696-5726. |
| APA | Guo, Boling,Huo, Zhaohui,&Fang, Shaomei.(2017).Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation.JOURNAL OF DIFFERENTIAL EQUATIONS,263(9),5696-5726. |
| MLA | Guo, Boling,et al."Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation".JOURNAL OF DIFFERENTIAL EQUATIONS 263.9(2017):5696-5726. |
入库方式： OAI收割
来源：数学与系统科学研究院
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