摘要
本文研究非线性粘弹性Klein-Gordon方程的一致衰减.结合MATHEMATICA软件,我们提出一种借助计算技术的方法用以构造辅助泛函.最后,利用辅助泛函及精确的先验估计,证明了在时间趋于无穷时,能量泛函依指数衰减或多项式衰减趋向于零.
In this paper,we consider the uniform decay estimate of the nonlinear viscoelastic Klein-Gordon model.With the aid of MATHEMATICA,a method has been proposed to construct the auxiliary functionals by means of the computational techniques.Finally,by introducing appropriate auxiliary functionals and precise priori estimates,we prove that the energy functional decays exponentially or polynomially to zero as time goes to infinity.
作者
张风云
李傅山
陈祥平
ZHANG Fengyun;LI Fushan;CHEN Xiangping(Department of Mathematics,Jining University,Qufu 273155,China;School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China)
出处
《应用数学》
CSCD
北大核心
2019年第2期262-271,共10页
Mathematica Applicata
基金
Supported by the Teaching Perform Project of Jining University and the Natural Science Foundation of Shandong Province of China(ZR2013AL005)
