山西大学学报（自然科学版）2024，Vol.47Issue(4)：699-703,5.DOI:10.13451/j.sxu.ns.2024080
一类黏弹性波动方程解爆破时间的下界
Lower Bounds for Blow-up Time of Solutions for a Viscoelastic Wave Equation
摘要
Abstract
The article studies the problem of blow-up in finite time for a class of viscoelastic wave equations.When the solution of the target equation blow up,accurately estimating the lower bound of the blow-up time is a key issue that needs to address.By em-ploying suitable energy mode estimation and defining auxiliary functions,we obtains the lower bound of the blow-up time of the so-lution to wave equations with viscoelastic terms.关键词
辅助函数法/能量模估计/非线性阻尼Key words
auxiliary function method/energy mode estimation/nonlinear damping分类
数理科学引用本文复制引用
刘玉龙..一类黏弹性波动方程解爆破时间的下界[J].山西大学学报（自然科学版）,2024,47(4):699-703,5.基金项目
山西省高等学校科技创新项目(20221-406) （20221-406）
