Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential

doi:10.1063/1.3371246

CSpace > 应用数学研究所

	Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential
	Cao, Daomin1 ; Han, Pigong
	2010-04-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	51 期号:4 页码:24
摘要	In this paper, we study the Cauchy problem of the inhomogeneous nonlinear Schrodinger equation with a harmonic potential: i partial derivative(t)u = -div(f(x) del u) + vertical bar x vertical bar(2)u -k(x)vertical bar u vertical bar(4/N)u, x is an element of R-N, N >= 1, which models the remarkable Bose-Einstein condensation. We discuss the existence and nonexistence results and investigate the limiting profile of blow-up solutions with critical mass. (C) 2010 American Institute of Physics. [doi:10.1063/1.3371246]
DOI	10.1063/1.3371246
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000277242500028
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10812
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Han, Pigong. Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential[J]. JOURNAL OF MATHEMATICAL PHYSICS,2010,51(4):24.
APA	Cao, Daomin,&Han, Pigong.(2010).Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential.JOURNAL OF MATHEMATICAL PHYSICS,51(4),24.
MLA	Cao, Daomin,et al."Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential".JOURNAL OF MATHEMATICAL PHYSICS 51.4(2010):24.