一类广义非线性Schrdingger方程解的研究

The Study of A Class of Generalized Schrdingger equation solution

利用算子半群方法研究了一类广义非线性Schr dingger方程i φ s-β(s)2△q+ (b+ia)||α+iΓ=0解的存在唯一性问题并讨论了解一些性质.为应用此类方程解决实际问题提供了理论基础,为证明类似方程提供了一种可以借鉴的方法.

In this paper,we discuss the problem about the existence of the solution for a class of NLS in low dimensional space by using the operatorhemigroup.Also some characters of the solution.Offer a methord to sovle the similar problem.