Title
Remarks on the blow-up rate for critical nonlinear Schrödinger equation with harmonic potential
Abstract
We consider the blow-up solutions of the Cauchy problem for the critical nonlinear Schrödinger equation with a harmonic potential, which models the attractive Bose–Einstein condensate. We establish the sharp lower and upper bounds of blow-up rate as t→T (blow-up time), which improve the result of [Q. Liu, Y. Zhou, J. Zhang, Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential, Appl. Math. Comput. 172 (2006) 1121–1132].
Year
DOI
Venue
2009
10.1016/j.amc.2008.12.046
Applied Mathematics and Computation
Keywords
DocType
Volume
Blow-up rate,Nonlinear Schrödinger equation,Harmonic potential,Attractive Bose–Einstein condensates
Journal
208
Issue
ISSN
Citations 
2
0096-3003
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Jian Zhang164.96
Xiaoguang Li201.01
Yonghong Wu321234.70