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arXiv · 1505.07060

General decay for a viscoelastic wave equation with dynamic boundary conditions and a time-varying delay

Gang Li·Biqing Zhu·Danhua Wang
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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.

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Gang Li, Biqing Zhu, Danhua Wang. 2015-05-25. General decay for a viscoelastic wave equation with dynamic boundary conditions and a time-varying delay. https://arxiv.org/abs/1505.07060

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