Title
Sharp upper and lower bounds on the blow-up rate for nonlinear Schrödinger equation with potential
Abstract
We consider the blow-up solutions of the Cauchy problem for critical nonlinear Schrödinger equation with a repulsive harmonic potential. In terms of Merle and Raphaël’s recent arguments as well as Carles’ transform, the sharp upper and lower bounds of the blow-up rate are obtained.
Year
DOI
Venue
2007
10.1016/j.amc.2007.02.010
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear Schrödinger equation,Repulsive harmonic potential,Blow-up rate
Cauchy problem,Mathematical optimization,Mathematical analysis,Upper and lower bounds,Schrödinger equation,Harmonic,Initial value problem,Numerical analysis,Nonlinear Schrödinger equation,Mathematics
Journal
Volume
Issue
ISSN
190
2
0096-3003
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Shihui Zhu171.55
Xiaoguang Li201.01