关于一类非线性耦合Schrdinger方程组的研究  

On a Class of Coupled Nonlinear Schrdinger Equations

作　　者：廖秋明[1] 

机构地区：[1]肇庆学院数学系,肇庆526061

出　　处：《工程数学学报》2008年第2期288-294,共7页Chinese Journal of Engineering Mathematics

摘　　要：研究了一类非线性耦合Schr(?)dinger方程组初边值问题,应用Galerkin方法及紧致性的结果证明了该问题解存在唯一性。再利用椭圆型方程解的正则性定理,得出当初边值满足一定的条件时,该方程组解的正则性结果。In this paper, the existence and uniqueness of solution for a class of coupled nonlinear Schrodinger equations is proved by using the Galerkin method and the compactness results. By applying the regularity theorem of elliptic equation, we obtain the regularity of solution of the equations when given the initial and boundary condictions.

关 键 词：GALERKIN方法 耦合 非线性SCHRODINGER方程组 存在唯一性 

分 类 号：O175.29[理学—数学]