摘要
讨论了一类具有梯度项的非线性Schr dinger方程解的特性.通过引入特征函数和特征值以及构造爆破因子 的方法,证明了在满足一定的初始条件和边界条件下方程的解会在有限时间里发生爆破.
In this paper the author discuss the solution of a class of nonlinear Schrdiner equation with gradient term. By means of introducing eigenfunction and eigenvalue and constructing blow-up factor it is proved that the solution of the equation will blow up in finite time when its initial value satisfies with the given condition.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第6期935-938,共4页
Journal of Southwest China Normal University(Natural Science Edition)