云南师范大学学报（自然科学版）2026，Vol.46Issue(3)：16-19,4.DOI:10.7699/j.ynnu.ns-2026-29
一类带阻尼项和记忆项的波动方程解的爆破
The Blow-up of Solutions to a Class of Wave Equations with Damping and Memory Terms
摘要
Abstract
This study investigates the initial-boundary value problem for a weakly damped wave equa-tion with composite memory terms in an n-dimensional exterior domain.A multiplier is adopted to off-set disturbances from weak damping.Via energy functional construction,proper test function selection and recursive iterative sequence formulation,finite-time blow-up of solutions is verified for various spatial dimensions,alongside an upper bound estimate of the solution lifespan.关键词
波动方程/检验函数/迭代方法/破裂/生命跨度Key words
Wave equation/Test function method/Iteration technique/Blow-up/Life span estimate分类
数理科学引用本文复制引用
王文茹,韩伟,任翠..一类带阻尼项和记忆项的波动方程解的爆破[J].云南师范大学学报（自然科学版）,2026,46(3):16-19,4.基金项目
山西省基础研究计划资助项目(20210302123045,20210302123021,20210302123182). （20210302123045,20210302123021,20210302123182）
