一类耦合Schrdinger—Klein—Gordon方程的初边值问题

Initial Boundary Problem for a Class of the Coupled Schrodinger-Klein-Gordon Equations

本文考虑了一类非线性耦合Schrdinger—Klein—Gordon方程的初边值问题,采用Galerkin方法与紧致性原理,在较弱的条件下,证明了该问题的整体弱解的存在性.

In the paper we consider the initial boundary value problem for a class of the Coupled Schrodinger-klein-Gordon equations. under relatively weak condition, the existence of global weak solntion for the problem are proved by the Galerkin method and princiPle of the Compactness.