Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633512 | Applied Mathematics and Computation | 2009 | 8 Pages |
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 tâT (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].
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jian Zhang, Xiaoguang Li, Yonghong Wu,