General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
Analysis of PDEs
2013-04-10 v1 Optimization and Control
Abstract
In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general energy decay result from which the exponential and polynomial types of decay are only special cases.
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Cite
@article{arxiv.1208.4007,
title = {General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback},
author = {Wenjun Liu},
journal= {arXiv preprint arXiv:1208.4007},
year = {2013}
}
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11 pages