Blow-up of solutions to a coupled system of wave equations with memory terms
DU Jiayi1， MING Sen1， MA Yaxian1， YANG Jie2
(1.School of Mathematics， North University of China， Taiyuan 030051， China；2.School of Computer Science and Technology， North University of China， Taiyuan 030051， China)
Abstract：This paper aims to investigate the small initial value problem for a coupled system of wave equations with scattering damping terms and memory terms in n space dimensions. Blow-up and upper bound lifespan estimates of solutions are derived in the sub-critical and critical cases by introducing a suitable multiplier and making use of the iteration approach.
杜嘉仪,明 森,麻雅娴,杨 婕. 一类带记忆项的波动方程耦合方程组解的破裂[J]. 华中师范大学学报(自然科学版), 2023, 57(3): 329-334.
DU Jiayi,MING Sen,MA Yaxian,YANG Jie. Blow-up of solutions to a coupled system of wave equations with memory terms. journal1, 2023, 57(3): 329-334.
2023, Vol. 57 
