A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament

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	A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament
	Huo, Zhaohui1,2 ; Jia, Yueling 3
	2007
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
卷号	32 期号:10-12 页码:1493-1510
摘要	The Cauchy problem of one dimensional fourth-order nonlinear Schrodinger equation related to the vortex filament is studied. Local well-posedness for initial data in H-s(IR) (s > 1/2) is obtained without conditions v < 0 and mu - v/2 = 0 by the Fourier restriction norm method. The result is a refinement of our previous paper (Huo and Jia, 2005).
关键词	local well-posedness the Fourier restriction norm the fourth-order schrodinger equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000252042800002
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5004
专题	数学所
通讯作者	Huo, Zhaohui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Huo, Zhaohui,Jia, Yueling. A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2007,32(10-12):1493-1510.
APA	Huo, Zhaohui,&Jia, Yueling.(2007).A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,32(10-12),1493-1510.
MLA	Huo, Zhaohui,et al."A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 32.10-12(2007):1493-1510.