The Cauchy problem for non-autonomous nonlinear Schrodinger equations

doi:10.1360/04ys0012

CSpace

	The Cauchy problem for non-autonomous nonlinear Schrodinger equations
	Pang, PYH ; Tang, HY ; Wang, YD
	2005-04-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:4 页码:522-538
摘要	In this paper we study the Cauchy problem for cubic nonlinear. Schrodinger equation with space- and time-dependent coefficients on R-m and T-m. By an approximation argument we prove that for suitable initial values, the Cauchy problem admits unique local solutions. Global existence is discussed in the cases of m = 1, 2.
关键词	non-autonomous Schrodinger equations local existence global existence
DOI	10.1360/04ys0012
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000229229700009
出版者	SCIENCE CHINA 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/1075
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, YD
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
推荐引用方式 GB/T 7714	Pang, PYH,Tang, HY,Wang, YD. The Cauchy problem for non-autonomous nonlinear Schrodinger equations[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(4):522-538.
APA	Pang, PYH,Tang, HY,&Wang, YD.(2005).The Cauchy problem for non-autonomous nonlinear Schrodinger equations.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(4),522-538.
MLA	Pang, PYH,et al."The Cauchy problem for non-autonomous nonlinear Schrodinger equations".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.4(2005):522-538.