摘要
考虑具调和振子的非线性Schr dinger方程的Cauchy问题。采用Galerkin方法证明了整体强解的存在性 。
In this paper we consider the Cauchy problem for the nonlinear Schrdinger equations with harmonic oscillator. By the Galerkin expansion procedure using the eigenfunctions of the harmonic oscillator,we can show that the nonlinear initial value problem in one space dimension has uniquely global strong solutions,if the initial wave functions ψ 0 are in a certain functions sapce.
出处
《河南科学》
2000年第2期111-116,共6页
Henan Science
关键词
调和振子
整体强解
非线性薛定谔方程
存在性
nonlinear Schrdinger equation
harmonic oscillator
galerkin method
global strong solution
existence and uniqueness
