带有阻尼项与源项的粘弹性波动方程解的一般衰减  

General Decay of Solutions for a Viscoelastic Wave Equation with Damping and Source Term

作　　者：李倩 Li Qian(Department of Mathematics Changzhi University,Changzhi Shanxi 046011)

机构地区：[1]长治学院数学系,山西长治046000

出　　处：《长治学院学报》2022年第2期16-19,共4页Journal of Changzhi University

摘　　要：研究了一个带有阻尼项和源项的粘弹性波动方程的初边值问题.在松弛函数满足一定的条件下,构造了恰当的能量泛函.结合能量扰动的方法与微分不等式技巧,证明了解能量的一般衰减.This paper deals with the initial boundary value problem of a viscoelastic wave equation with damping term and source term.Under certain conditions on the relaxation function,we show that the solution energy has a general decay by constructing a suitable modified energy function,using the perturbed energy method and inequality techniques.

关 键 词：波动方程 粘弹性 非线性阻尼 整体衰减 

分 类 号：O175[理学—数学]