非线性项混合的多维波动方程解的爆破研究  

Blow-up of Solutions to Multi-dimensional Wave Equations with Non-linear Mixed Terms

作　　者：王虎生[1] 孙海霞[1] Wang Husheng;Sun Haixia(Mathematical School of Southwest University, Chengdu 611756, China)

机构地区：[1]西南交通大学数学学院,成都611756

出　　处：《数学理论与应用》2018年第1期48-53,共6页Mathematical Theory and Applications

摘　　要：本文考虑含参的非线性项的波动方程的经典解的生命跨度研究,通过对参数的讨论,得到解的生命跨度上界,改进了已有的结果.This paper studies the lifespan of the classical solution about wave equation with parameters. Based on the discussion of the parameters, we get an upper bound of the lifespan to the solution which improves the known results.

关 键 词：波动方程 生命跨度 经典解 上界 

分 类 号：O175[理学—数学]