General decay for a viscoelastic wave equation with dynamic boundary conditions and a time-varying delay
Analysis of PDEs
2015-06-11 v6 Mathematical Physics
math.MP
Abstract
The goal of this paper is to study a nonlinear viscoelastic wave equation with strong damping, time-varying delay and dynamical boundary condition. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we then prove a general decay result of the energy, from which the usual exponential and polynomial decay rates are only special cases.
Keywords
Cite
@article{arxiv.1505.07060,
title = {General decay for a viscoelastic wave equation with dynamic boundary conditions and a time-varying delay},
author = {Gang Li and Biqing Zhu and Danhua Wang},
journal= {arXiv preprint arXiv:1505.07060},
year = {2015}
}