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一类非线性SKG型耦合方程组的初边值问题
引用本文:宋长明,邢家省,苗长兴. 一类非线性SKG型耦合方程组的初边值问题[J]. 纺织高校基础科学学报, 1991, 0(3)
作者姓名:宋长明  邢家省  苗长兴
作者单位:郑州纺织工学院 郑州450007(宋长明),郑州大学 郑州450052(邢家省),焦作矿业学院 焦作45459(苗长兴)
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。

关 键 词:SKG方程组  耗散效应  磁场效应  初边值问题  Galerkin方法

Initial-Boundary Problem for a Class of System of Coupled SKG Type Equations
Song Changming,. Initial-Boundary Problem for a Class of System of Coupled SKG Type Equations[J]. Basic Sciences Journal of Textile Universities, 1991, 0(3)
Authors:Song Changming  
Abstract: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.
Keywords:: SKG systems  effcct of dissipation  effect of magnetic field  initialboundary value problem  Galerkin method
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