%0 Journal Article
%T 一类非线性Klein-Gordon方程解的整体存在和爆破的条件<br>THE GLOBAL EXISTENCE AND BLOW-UP OF A CLASS OF NONLINEAR KLEIN-GORDON EQUATIONS
%A 作者
%A 祝佳玲
%A 李杨
%A 杨晗
%J 数学杂志
%D 2018
%X 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.<br>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
%K 非线性Klein-Gordon方程 Galerkin方法 整体解 爆破 生命跨度&lt
%K br&gt
%K nonlinear Klein-Gordon equation Galerkin method global solution blow up life span
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180619&flag=1