一类耦合方程组的初边值问题

Initial Boundary Problems for a class of the Coupled Systems of Some Eguations

本文对一类复半线性 Schrdinger 方程和实半线性 Klein-Gordon 方程的耦合方程组分别具第一类边值条件和第二类边值条件的初边值问题,研究了其解的能量性质。我们首先对所讨论的问题引入一类能量积分,然后推导出能量不变式,并给出了所得能量不变式的初步应用.

This paper concerns with the initial-boun-dary value problems with respect to the first boundary condition and the second boundary condition for the systems consisting of a complex Schrdinger field int-eracting with a real Klein-Gordon field.The energy property of the solutions is discussed;first a energy integral is introduced,then the energy equation and its elemental application are given.