Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations

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	Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations
	Miao, Changxing ; Zhang, Bo
	2007
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	17 期号:1 页码:181-200
摘要	In this paper the global well-posedness in L-2 and H-m of the Cauchy problem is proved for nonlinear Schrodinger-type equations. This we do by establishing regular Strichartz estimates for the corresponding linear equations and some nonlinear a priori estimates in the framework of Besov spaces. We further establish the regularity of the H-m-solution to the Cauchy problem.
关键词	Schrodinger-type equations Strichartz estimates Besov spaces well-posedness Cauchy problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000241725500011
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/4229
专题	应用数学研究所
通讯作者	Miao, Changxing
作者单位	1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Miao, Changxing,Zhang, Bo. Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2007,17(1):181-200.
APA	Miao, Changxing,&Zhang, Bo.(2007).Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,17(1),181-200.
MLA	Miao, Changxing,et al."Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 17.1(2007):181-200.