一类非线性项的二维波动方程组解的生命跨度下界研究

数学理论与应用 ›› 2016, Vol. 36 ›› Issue (3): 12-24.

一类非线性项的二维波动方程组解的生命跨度下界研究

王虎生，孙海霞，米彩莲

西南交通大学数学学院,成都,611756

出版日期:2016-09-30 发布日期:2020-09-27

Lower Bounds of the Life Span of Classical Solutions to a System of Nonlinear Wave Equations with Weighted Function in Two Space Dimensions

Wang Husheng， Sun Haixia， Mi Cailian

School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China

Online:2016-09-30 Published:2020-09-27

摘要/Abstract

摘要： 本文考虑加权的非线性二维波动方程组的柯西问题,在小初值的前提下,研究了经典解的生命跨度的下界估计,推广了前人[13]已有的结果.

关键词: 波动方程, 经典解, 下界, 生命跨度

Abstract: This paper concerns the Cauchy problem of a nonlinear wave equation system with weighted function.Lower bounds to the life span of classical solutions with small initial values are derived,which generalizes the known results.

Key words: Wave equation, Classical solution, Lower bound, Life span

王虎生, 孙海霞, 米彩莲. 一类非线性项的二维波动方程组解的生命跨度下界研究[J]. 数学理论与应用, 2016, 36(3): 12-24.

Wang Husheng, Sun Haixia, Mi Cailian.

Lower Bounds of the Life Span of Classical Solutions to a System of Nonlinear Wave Equations with Weighted Function in Two Space Dimensions [J]. Mathematical Theory and Applications, 2016, 36(3): 12-24.

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