一类广泛的耦合Schrodinger-klein-Gordon方程组的初边值问题

INITIAL BOUNDARY VALUE PROBLEM FOR A CLASS OF GENERAL COUPLED SCHRODINGER KLEIN-GORDON EQUATIONS

本文考虑一类非线性耦合Schrdinger—klein—Gordon方程组的初边值问题,采用Galerkin方法与紧致性原理,在较弱的条件下,证明了该问题整体解的存在性。

The initial-boundary-value problem for a class of general coupled Schrdinger—Klein—Gordon equations is considered in this paper. Under weak conditions,the existence of the global weak solution to the problem is proved by applying Galerkin method and the principle of compactness.