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arXiv · 1208.4007

General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback

Wenjun Liu
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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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Wenjun Liu. 2012-08-20. General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback. https://doi.org/10.1063/1.4799929

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