下降流不变集在一类Schrodinger方程中的应用

Application of invariant sets of descending flow in a class of Schrodinger equations

为了研究一类Schrodinger方程多解的存在性,利用下降流不变集与解的半群性及连续依赖性相结合的方法,讨论了这类Schrodinger方程在适当条件下多解的存在性,得到了该方程至少存在3个解。

In order to investigate the existence of multiple solutions for a class of Schrodinger equation,the study has mainly discussed the existence of multiple solutions of the Schrodinger equation under appropriate conditions by using the invariant sets of descending flow with semigroup and continuous dependence,it has derived that the equation has at least three solutions.