摘要
研究了一类非线性记忆项的弱耦合半线性双波动系统解的爆破情况。运用测试函数和切片化方法,证明了其柯西问题在次临界情况下解的全局非存在性。同时,还得到了其解的生命跨度上界估计。
Blow-up of solutions to a class of weakly coupled semilinear double-wave system with nonlinear memory terms is studied.By employing test functions and slicing methods,nonexistence of global solutions to the Cauchy problem for the semilinear double-wave system in the subcritical case is proved.Also,the upper bound estimate of the lifespan of solutions is obtained.
作者
欧阳柏平
OUYANG Baiping(Guangzhou Huashang College,Guangzhou 511300,China)
出处
《贵州大学学报（自然科学版）》
2023年第2期29-35,41,共8页
Journal of Guizhou University:Natural Sciences
基金
广东省普通高校创新团队资助项目(2020WCXTD008)
广州华商学院校内资助项目(2020HSDS01,2021HSKT01)。
关键词
非线性记忆项
弱耦合半线性双波动系统
爆破
nonlinear memory term
weakly coupled semilinear double-wave system
blow-up
