摘要
考虑一类涉及超临界源项的非线性黏弹性双曲方程解的爆破时间下界估计,通过构造带阻尼项的控制函数,利用能量估计方法和Sobolev嵌入定理,得到了该问题解爆破时间的显式下界估计.
We considered estimate of a lower bound of blow-up time for solutions to a class of nonlinear viscoelastic hyperbolic equations involving supercritical source terms.By constructing the control function with damping term,using the mehtod of energy estimate and Sobolev embedding theorem,we obtained an explicit estimate of lower bound of the blow-up time for the solutions to the problem.
作者
曹春玲
李行
李雨桐
蔡华
CAO Chunling;LI Hang;LI Yutong;CAI Hua(College of Mathematics,Jilin University,Changchun 130012,China;Yangxin Power Supply Company,State Grid Shandong Electric Power Company,Yangxin 251800,Shandong Province,China;Gengdan Institute of Beijing University of Technology,Beijing 101301,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第2期324-326,共3页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11271154
41874135)
关键词
黏弹性双曲方程
能量估计法
下界估计
爆破时间
viscoelastic hyperbolic equation
method of energy estimate
estimate of lower bound
blow-up time
