三维半线性波动方程初值问题解的破裂  

Blow up of Solutions for the Initial Value Problems of Semilinear Wave Equation in Three Dimension

作　　者：韩伟[1] 赵洋洋[1] 祝倩倩[1] 路飞[1] 

机构地区：[1]中北大学理学院,太原030051

出　　处：《火力与指挥控制》2017年第6期63-66,共4页Fire Control & Command Control

基　　金：国家自然科学基金(11301489;11571324);山西青年科学基金项目(2015021001);中北大学青年学术带头人支持计划资助项目

摘　　要：研究了半线性波动方程初值问题在三维空间中解的生命跨度的上界估计,关于此初值问题的爆破解将被建立。无论多么小的初值,该问题都没有整体解,在前人研究的基础上给出该初值问题解的生命跨度的上界估计。This paper is devoted to studying the solution of the initial value problem of semilinear wave equation and estimating the upper bound of life span in three dimensions. Explosive solution about this initial value problem will beestablished. No matter how small the initial value,this problem without the global solution,the result has been proved by his predecessors,at this point,the upper bound estimate of life span of the initial value problem will be given.

关 键 词：半线性波动方程 初值问题 生命跨度 

分 类 号：O175.29[理学—数学]