中北大学学报(自然科学版)2016,Vol.37Issue(6):557-560,587,5.DOI:10.3969/j.issn.1673-3193.2016.06.001
半线性波动方程在三维空间中解的破裂和生命跨度的上界估计
Blow-Up of Solutions and Estimate the Upper Bound of Life Span for Semilinear Wave Equation in Three-Dimensional Space
摘要
Abstract
The initial boundary value problem for semilinear wave equation on exterior domain in 3-D was studied by using test function method.The results show that blow up of solutions and the upper bound of life span estimate are established,no matter how small the data are.And the explicit expression the test functionΦ0 (x)is founded.关键词
半线性波动方程/初边值问题/破裂/生命跨度Key words
semilinear wave equation/initial boundary value problem/blow up/life span分类
数理科学引用本文复制引用
韩伟,祝倩倩,吕淑佳..半线性波动方程在三维空间中解的破裂和生命跨度的上界估计[J].中北大学学报(自然科学版),2016,37(6):557-560,587,5.基金项目
国家自然科学基金资助项目(11301489) (11301489)