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Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation
Guo, Boling1; Huo, Zhaohui2; Fang, Shaomei3
2017-11-05
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume263Issue:9Pages:5696-5726
AbstractThe 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.
KeywordWell-posedness Fifth order Kadomtsev-Petviashvili-I equation Dyadic X-s,X-b spaces
DOI10.1016/j.jde.2017.06.032
Language英语
Funding ProjectNSFC[11471323] ; NSFC[11271141]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000410871900018
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26587
Collection数学所
Corresponding AuthorHuo, Zhaohui
Affiliation1.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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