Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4
文献类型：期刊论文
| 作者 | Huo, Zhaohui2,3; Jia, Yueling1 |
| 刊名 | FORUM MATHEMATICUM
 |
| 出版日期 | 2020-11-01 |
| 卷号 | 32期号:6页码:1575-1598 |
| 关键词 | Well-posedness Zakharov-Kuznetsov equation dyadic X-s,X-b dyadic bilinear estimates |
| ISSN号 | 0933-7741 |
| DOI | 10.1515/forum-2020-0003 |
| 英文摘要 | The Cauchy problem of the 2D Zakharov-Kuznetsov equation partial derivative(t)u + partial derivative (x) (partial derivative (xx) + partial derivative (yy))u + uu(x) = 0 is considered. It is shown that the 2D Z-K equation is locally well-posed in the endpoint Sobolev space H-1/4, and it is globally well-posed in H(-1/4)( )with small initial data. In this paper, we mainly establish some new dyadic bilinear estimates to obtain the results, where the main novelty is to parametrize the singularity of the resonance function in terms of a univariate polynomial. |
| 资助项目 | NSFC[11471323] ; NSFC[11571254] ; NSFC[11771444] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000584242300013 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52445]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huo, Zhaohui,Jia, Yueling. Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4[J]. FORUM MATHEMATICUM,2020,32(6):1575-1598. |
| APA | Huo, Zhaohui,&Jia, Yueling.(2020).Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4.FORUM MATHEMATICUM,32(6),1575-1598. |
| MLA | Huo, Zhaohui,et al."Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4".FORUM MATHEMATICUM 32.6(2020):1575-1598. |
入库方式： OAI收割
来源：数学与系统科学研究院
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