| Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation | |
Guo, Boling1; Huo, Zhaohui2 ; Fang, Shaomei3
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| 2017-11-05 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 0022-0396 |
| Volume | 263Issue:9Pages:5696-5726 |
| Abstract | 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) = || |
| Keyword | Well-posedness Fifth order Kadomtsev-Petviashvili-I equation Dyadic X-s,X-b spaces |
| DOI | 10.1016/j.jde.2017.06.032 |
| Language | 英语 |
| Funding Project | NSFC[11471323] ; NSFC[11271141] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000410871900018 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26587 |
| Collection | 数学所 |
| Corresponding Author | Huo, Zhaohui |
| Affiliation | 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 |
| Recommended Citation 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. |
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