Blow-up of solution to a wave equation with damping term and negative mass term
FAN Xiongmei， MING Sen， HAN Wei， SU Yeqin
(1.Department of Mathematics， North University of China， Taiyuan 030051， China；2.Department of Securities and Futures， Southwestern University of Finance and Economics， Chengdu 611130， China)
Abstract：This paper is concerned with the initial boundary values problem of a variable coefficient wave equation with damping term， negative mass term and combined nonlinearities on exterior domain. Using the multiplier and applying test function technique together with iterative approach， it is deduced that a solution to the problem with small initial values will blow-up in finite time. Moreover， upper bound lifespan estimate of solution is established.
范雄梅,明 森,韩 伟,苏业芹. 一类带阻尼项和负质量项的波动方程解的破裂[J]. 华中师范大学学报(自然科学版), 2022, 56(3): 389-393.
FAN Xiongmei,MING Sen,HAN Wei,SU Yeqin. Blow-up of solution to a wave equation with damping term and negative mass term. journal1, 2022, 56(3): 389-393.
2022, Vol. 56 
