一类非线性项的二维波动方程解的生命跨度研究  

The Life Span of Classical Solutions to Nonlinear Wave Equations with Weighted Function in Two Space Dimensions

作　　者：王虎生[1] 孙海霞[1] WANG Husheng;SUN Haixia(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：《应用数学》2020年第3期620-633,共14页Mathematica Applicata

基　　金：国家自然科学基金资助(71572156)。

摘　　要：本文考虑非线性项加权的二维波动方程的柯西问题,在小初值的前提下,研究经典解的生命跨度,同时给出生命跨度的上界和下界估计,推广前人已有的结果.The paper concerns the cauchy problem for the nonlinear wave equation with weighted function. Under the assumption of the small initial data, the life span of the classical solution is studied.Also, the paper figures out the upper and lower bound estimation of the life span and develops the known results.

关 键 词：波动方程 经典解 爆破 生命跨度 

分 类 号：O175.6[理学—数学]