Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R

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	Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R
	Colliander, James 1; Holmer, Justin 2; Visan, Monica ; Zhang, Xiaoyi 3
	2008-05-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	7 期号:3 页码:467-489
摘要	We consider the Cauchy problem for a family of semilinear defocusing Schrodinger equations with monomial nonlinearities in one space dimension. We establish global well-posedness and scattering. Our analysis is based on a four-particle interaction Morawetz estimate giving a priori L-t,x(8) spacetime control on solutions.
关键词	nonlinear Schrodinger equation well-posedness scattering Morawetz inequality
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000254121600001
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/6160
专题	中国科学院数学与系统科学研究院
通讯作者	Colliander, James
作者单位	1.Univ Toronto, Toronto, ON, Canada 2.Univ Calif Berkeley, Berkeley, CA 94720 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Colliander, James,Holmer, Justin,Visan, Monica,et al. Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2008,7(3):467-489.
APA	Colliander, James,Holmer, Justin,Visan, Monica,&Zhang, Xiaoyi.(2008).Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,7(3),467-489.
MLA	Colliander, James,et al."Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 7.3(2008):467-489.