一类带时间加权非线性项的波动方程解的破裂  

Blow-up of Solution to the Wave Equation with Time Weighted Nonlinear Term

作　　者：吴晓[1] 明森 任翠 WU Xiao;MING Sen;REN Cui(Department of Mathematics,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学数学学院,山西太原030051

出　　处：《云南师范大学学报（自然科学版）》2024年第6期30-37,共8页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：山西省基础研究计划资助项目(20210302123045,202103021223182).

摘　　要：通过引入适当的乘子克服散射阻尼项的影响,构造检验函数并且利用迭代方法,得到n维空间中一类带散射阻尼项与时间加权非线性项的波动方程的小初值问题解的破裂,并给出其生命跨度的上界估计.By introducing an appropriate multiplier to overcome the influence of scattering damping term,constructing a test function and making use of iterative approach,blow-up results of the solution to a small initial value problem of wave equation with scattering damping term and time weighted nonlinear terms in n space dimensions are obtained.In addition,the upper bound lifespan estimates of solution are presented.

关 键 词：波动方程 加权非线性项 迭代方法 破裂 生命跨度 

分 类 号：O175.29[理学—数学]