带双势的非线性Klein-Gordon方程驻波的不稳定性  

Instability of Standing Wave for Nonlinear Klein-GordonEquations with Double Potentials

作　　者：陈渝芝[1] 

机构地区：[1]重庆工学院数理学院,重庆400050

出　　处：《四川大学学报（自然科学版）》2005年第2期253-258,共6页Journal of Sichuan University(Natural Science Edition)

摘　　要：研究了一类带双势的非线性Klein Gordon方程的柯西问题.首先利用变分法得出了具基态的驻波的存在性,然后根据这个结果证明了该驻波的不稳定性.Studied the Cauchy problem of a class of nonlinear Klein-Gordon equations with double potentials. The existence of standing wave with the ground state is obtained by variational calculus. Then the instability of the standing wave is proved.

关 键 词：非线性Klein—Gordon方程 双势 驻波 不稳定性 

分 类 号：O175.26[理学—数学]