Stability of solutions for nonlinear Schrodinger equations in critical spaces

doi:10.1007/s11425-011-4204-y

CSpace

	Stability of solutions for nonlinear Schrodinger equations in critical spaces
	Li Dong 1; Zhang XiaoYi 1,2
	2011-05-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	54 期号:5 页码:973-986
摘要	We consider the Cauchy problem for nonlinear Schrodinger equation iu(t) + Delta u = +/-\|u\|(p)u, 4/d < p < 4/d-2 in high dimensions d >= 6. We prove the stability of solutions in the critical space (H)over dot(x)(8p), where 8(p) = d/2 - 2/p.
关键词	Schrodinger equation stability critical space
DOI	10.1007/s11425-011-4204-y
语种	英语
资助项目	University of Iowa ; US National Science Foundation[0908032] ; Alfred P. Sloan Research Fellowship
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000290768800009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12679
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang XiaoYi
作者单位	1.Univ Iowa, Dept Math, Iowa City, IA 52242 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li Dong,Zhang XiaoYi. Stability of solutions for nonlinear Schrodinger equations in critical spaces[J]. SCIENCE CHINA-MATHEMATICS,2011,54(5):973-986.
APA	Li Dong,&Zhang XiaoYi.(2011).Stability of solutions for nonlinear Schrodinger equations in critical spaces.SCIENCE CHINA-MATHEMATICS,54(5),973-986.
MLA	Li Dong,et al."Stability of solutions for nonlinear Schrodinger equations in critical spaces".SCIENCE CHINA-MATHEMATICS 54.5(2011):973-986.