Well-posedness for one-dimensional derivative nonlinear Schrodinger equations

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	Well-posedness for one-dimensional derivative nonlinear Schrodinger equations
	Hao, Chengchun
	2007-12-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	6 期号:4 页码:997-1021
摘要	In this paper, we investigate the one-dimensional derivative non-linear Schrodinger equations of the form iu(t) -u(xx)+i lambda vertical bar u vertical bar(k)u(x) =0 with non-zero lambda Epsilon R and any real number k >= 5. We establish the local well-posedness of the Cauchy problem with any initial data in H-1/2 by using the gauge transformation and the Littlewood- Paley decomposition.
关键词	derivative nonlinear Schrodinger equations Cauchy problem local well-posedness
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000249791200005
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4397
专题	数学所
通讯作者	Hao, Chengchun
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hao, Chengchun. Well-posedness for one-dimensional derivative nonlinear Schrodinger equations[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2007,6(4):997-1021.
APA	Hao, Chengchun.(2007).Well-posedness for one-dimensional derivative nonlinear Schrodinger equations.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,6(4),997-1021.
MLA	Hao, Chengchun."Well-posedness for one-dimensional derivative nonlinear Schrodinger equations".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 6.4(2007):997-1021.