火力与指挥控制2018，Vol.43Issue(3)：116-119,4.DOI:10.3969/j.issn.1002-0640.2018.03.025
带位势项的半线性波动方程解的生命跨度的上界估计
Upper Bound Estimate of Lifespan of Solutions for Cauchy Problem for Semilinear Wave Equations with Potential
摘要
Abstract
This paper is concered with the semilinear wave equation with the critical exopontional nonlinear term and potential items in the dimension n(n ≥ 3).By constructing a test function,the blow-up behavior of solutions to the Cauchy problem with small initial data is established.We prove that solutions always blow-up in finite time.The blow-up criterion of solutions to the problem in the subcritical case with a potential is obtained.We investigate the upper bound life span of solutions to the problem.关键词
半线性波动方程/位势/次临界/破裂/生命跨度Key words
semilinear wave equation/potential/subcritical/blow up/lifespan分类
数理科学引用本文复制引用
韩伟,任登云..带位势项的半线性波动方程解的生命跨度的上界估计[J].火力与指挥控制,2018,43(3):116-119,4.基金项目
国家自然科学基金(11301489 （）
11571324) （）
山西省青年科学基金(2015021001) （2015021001）
中北大学杰出青年基金(JQ201604) （JQ201604）
中北大学青年学术带头人支持计划资助项目 （）
