论文标题
具有粘弹性阻尼和延迟反馈的半线性波方程的指数衰减
Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
论文作者
论文摘要
在本文中，我们研究了具有粘弹性阻尼和延迟反馈的半线性波类型方程，并使用时间变量系数。通过结合半群参数，仔细的能量估计和一种迭代方法，我们可以在适当的假设，适当的结果和与小初始数据相对应的解决方案的指数衰减估计值中证明。这扩展了[16]中启动的分析，然后在[13，17]中进行了开发。
In this paper we study a class of semilinear wave type equations with viscoelastic damping and delay feedback with time variable coefficient. By combining semigroup arguments, careful energy estimates and an iterative approach we are able to prove, under suitable assumptions, a well-posedness result and an exponential decay estimate for solutions corresponding to small initial data. This extends and concludes the analysis initiated in [16] and then developed in [13, 17].
