摘要
该文考虑一类记忆核不一定递减的线性粘弹性波动方程振动传递问题的渐近行为.通过构造新的Lyapunov泛函,导出问题能量的一般衰减估计值.同时,举例说明主要结论中包括指数、代数及对数等一致衰减估计.
In this paper,we are concerned with the asymptotic behavior for a transmission problem of viscoelastic waves with not necessarily decreasing kernel.We construct a new Lyapunov functional to derive the general decay estimate.Meanwhile,we present an example to illustrate that the decay rate we obtained includes exponential,algebraic and logarithmic decay etc.
作者
刘志卿
方钟波
Liu Zhiqing;Fang Zhongbo(School of Mathematics and Physics,Qingdao University of Science and Technology,Shandong Qingdao 266061;School of Mathematical Sciences,Ocean University of China,Shandong Qingdao 266100)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2021年第5期1428-1444,共17页
Acta Mathematica Scientia
基金
山东省自然科学基金(ZR2019MA072)
中央高校基本科研基金(201964008)。
