Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices

CSpace

	Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices
	Huo, ZH ; Jia, YL
	2005
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	26 期号:1 页码:75-88
摘要	The local well-posedness of the Cauchy problem for the Hirota equation is established for low regularity data in Sobolev spaces H-s(s >= -(1)/(4)). Moreover, the global well-posedness for L-2 data follows from the local well-posedness and the conserved quantity. For data in H-s(s > 0), the global well-posedness is also proved. The main idea is to use the generalized trilinear estimates, associated with the Fourier restriction norm method.
关键词	Fourier restriction norm trilinear estimates Hirota equation low regularity global well-posedness
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000228149000006
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2121
专题	中国科学院数学与系统科学研究院
通讯作者	Huo, ZH
作者单位	1.China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Huo, ZH,Jia, YL. Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2005,26(1):75-88.
APA	Huo, ZH,&Jia, YL.(2005).Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices.CHINESE ANNALS OF MATHEMATICS SERIES B,26(1),75-88.
MLA	Huo, ZH,et al."Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices".CHINESE ANNALS OF MATHEMATICS SERIES B 26.1(2005):75-88.