Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation

doi:10.1016/j.jde.2017.06.032

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	Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation
	Guo, Boling 1; Huo, Zhaohui2 ; Fang, Shaomei 3
	2017-11-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	263 期号:9 页码:5696-5726
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) = \|\| (s) (r) (f) over cap\|\| L-(xi,zeta)(2) . (C) 2017 Elsevier Inc. All rights reserved.
关键词	Well-posedness Fifth order Kadomtsev-Petviashvili-I equation Dyadic X-s,X-b spaces
DOI	10.1016/j.jde.2017.06.032
语种	英语
资助项目	NSFC[11471323] ; NSFC[11271141]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000410871900018
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26587
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.