摘要
考虑一类具耗散与磁场效应的非线性(?)-Kloin-Gordon型耦合方程组的初边值问题,利用Galerkin方法和紧致性原理,对多维空间变量情形,证明了该问题整体弱解的存在性;对一维空间变量情形,证明了该问题整体强解的存在唯一性。
In this paper we discussed the initial-boundary value problem for a class of system of nonlinear coupled (?)-Klein-Gordon type equations with the effect of dissipation and magnetic field. For multidimensional space variables, the existenceof the global weak solution for the problem has been proved by the Galerkin method and the compactness principle, for 1-dimcnsion variable, the existence and uniqueness of the global strong solu- tion for problem has been proved by the same method.
关键词
SKG方程组
耗散效应
初边值问题
非线性
: SKG systems
effcct of dissipation
effect of magnetic field
initialboundary value problem
Galerkin method
