一类非线性Klein-Gordon方程解的整体存在和爆破的条件
THE GLOBAL EXISTENCE AND BLOW-UP OF A CLASS OF NONLINEAR KLEIN-GORDON EQUATIONS

本文研究了一类非线性Klein-Gordon方程的初边值问题.通过引进能量泛函和与之对应的势井，采用Galerkin方法得到了解整体存在和爆破的充分条件，并给出了解爆破时生命跨度的上界估计.
The purpose of this work is to study the initial boundary value problem of a class of nonlinear Klein-Gordon equation. By introducing certain potential well, some sufficient conditions for the global existence and blow-up results to the solution are obtained. The upper bound of life span is given while the solution blows up