Global well-posedness for the generalized 2D Ginzburg-Landau equation

doi:10.1016/j.jde.2009.03.015

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	Global well-posedness for the generalized 2D Ginzburg-Landau equation
	Huo, Zhaohui1,2 ; Jia, Yueling 3
	2009-07-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	247 期号:1 页码:260-276
摘要	The local well-posedness for the generalized two-dimensional (2D) Ginzburg-Landau equation is obtained for initial data in H(s)(R(2)) (s > 1/2). The global result is also obtained in H(s)(R(2)) (s > 1/2) under some conditions. The results on local and global well-posedness are sharp except the endpoint s = 1/2. We mainly use the Tao's [k; Z]-multiplier method to obtain the trilinear and multilinear estimates. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Generalized 2D Ginzburg-Landau equation Local well-posedness Global well-posedness [k Z]-multiplier method
DOI	10.1016/j.jde.2009.03.015
语种	英语
资助项目	NSF of China[10601006] ; NSF of China[10701013] ; Department of Mathematics of City University of Hong Kong
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000266256900011
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/7575
专题	数学所
通讯作者	Huo, Zhaohui
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.City Univ Hong Kong, Dept Math, Hong Kong, 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. Global well-posedness for the generalized 2D Ginzburg-Landau equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,247(1):260-276.
APA	Huo, Zhaohui,&Jia, Yueling.(2009).Global well-posedness for the generalized 2D Ginzburg-Landau equation.JOURNAL OF DIFFERENTIAL EQUATIONS,247(1),260-276.
MLA	Huo, Zhaohui,et al."Global well-posedness for the generalized 2D Ginzburg-Landau equation".JOURNAL OF DIFFERENTIAL EQUATIONS 247.1(2009):260-276.