四川大学学报（自然科学版）2004，Vol.41Issue(3)：514-518,5.
一类带调和势的非线性Schr(o)dinger方程解的不稳定性
On the Instability of Solutions to a Class of Nonliear Schr(o)dinger Equation with Harmonic Potential
侯慎勇1
作者信息
- 1. 涪陵师范学院数学系,重庆,涪陵,408003
- 折叠
摘要
Abstract
A class of Schrodinger equations with harmonic potential:(1 1 iψt= - 1/2△ψ +1/2 | x |2ψ + f( |ψ| p) ψ),which has close relation to Bose-Einstein condensates, is investigated. By using energy conservative law and quality conservative law and knowledge of vector analysis, integral and differential inequality, the author proved that the solution to the Cauchy's problem will blow up in finite time if initial value satisfied with some conditions. The equation in this paper is more general.关键词
调和势/非线性Schr(o)dinger方程/爆破Key words
nonlinear Schr(o)dinger equation/harmonic potential/blow up分类
数理科学引用本文复制引用
侯慎勇..一类带调和势的非线性Schr(o)dinger方程解的不稳定性[J].四川大学学报（自然科学版）,2004,41(3):514-518,5.
