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

作　　者：祝佳玲 李杨 杨晗[1] ZHU Jia-ling;LI Yang;YANG Han(School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学数学学院,四川成都611756

出　　处：《数学杂志》2018年第6期1123-1135,共13页Journal of Mathematics

基　　金：国家自然科学基金(71572156;11501395)

摘　　要：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 su±cient 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.

关 键 词：非线性KLEIN-GORDON方程 GALERKIN方法 整体解 爆破 生命跨度 

分 类 号：O175.29[理学—数学]