云南师范大学学报（自然科学版）2026，Vol.46Issue(2)：15-19,5.DOI:10.7699/j.ynnu.ns-2026-04
紧李群中一类含导数型非线性记忆项的半线性阻尼波动方程解的爆破
Blow-up of Solutions to a Semilinear Damped Wave Equation with a Nonlinear Memory Term of Derivative Type in Compact Lie Groups
摘要
Abstract
Blow-up of solutions to a semilinear damped wave equation with a nonlinear memory term of derivative type in compact Lie groups is investigated.By utilizing properties of operators in compact Lie groups combined with an unbounded multiplier slicing procedure and an iteration technique,blow-up of the solutions in finite time is established.Meanwhile,an upper bound estimate for the lifespan of the solutions is derived.关键词
波动方程/导数型非线性记忆项/紧李群/爆破Key words
Wave equation/Nonlinear memory term of derivative type/Compact Lie group/Blow-up分类
数理科学引用本文复制引用
欧阳柏平..紧李群中一类含导数型非线性记忆项的半线性阻尼波动方程解的爆破[J].云南师范大学学报（自然科学版）,2026,46(2):15-19,5.基金项目
广东省普通高校创新团队资助项目(2020WCXTD008) （2020WCXTD008）
广州华商学院一类科研团队资助项目(2025HSYLTD1). （2025HSYLTD1）
