Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4

doi:10.1515/forum-2020-0003

CSpace

	Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4
	Huo, Zhaohui 1,2; Jia, Yueling 3
	2020-11-01
发表期刊	FORUM MATHEMATICUM
ISSN	0933-7741
卷号	32 期号:6 页码:1575-1598
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.
关键词	Well-posedness Zakharov-Kuznetsov equation dyadic X-s,X-b dyadic bilinear estimates
DOI	10.1515/forum-2020-0003
收录类别	SCI
语种	英语
资助项目	NSFC[11471323] ; NSFC[11571254] ; NSFC[11771444]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000584242300013
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52446
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, 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.