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OA
Blow-up of Solutions to a Semilinear Damped Wave Equation with a Nonlinear Memory Term of Derivative Type in Compact Lie Groups
研究了紧李群中一类导数型非线性记忆项的半线性阻尼波动方程解的爆破问题.利用紧李群中有关算子的性质结合无界乘子切片迭代技巧,证明了方程的解会在有限时间内爆破,并给出了生命跨度上界估计.
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.
欧阳柏平
广州华商学院,广东 广州 511300
数理科学
波动方程导数型非线性记忆项紧李群爆破
Wave equationNonlinear memory term of derivative typeCompact Lie groupBlow-up
《云南师范大学学报（自然科学版）》 2026 (2)
15-19,5
广东省普通高校创新团队资助项目(2020WCXTD008)广州华商学院一类科研团队资助项目(2025HSYLTD1).
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