STABILIZATION OF VISCOELASTIC WAVE EQUATION WITH VARIABLE COEFFICIENTS AND A DELAY TERM IN THE INTERNAL FEEDBACK

In this paper, we consider the stabilization of the viscoelastic wave equation with variable coefficients in a bounded domain with smooth boundary, subject to linear dissipative internal feedback with a delay. Our stabilization result is mainly based on the use of the Riemannian geometry methods and...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2017, Vol.54 (4), p.1457-1470
Main Author: Liang, Fei
Format: Article
Language:Korean
Online Access:Get full text
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Summary:In this paper, we consider the stabilization of the viscoelastic wave equation with variable coefficients in a bounded domain with smooth boundary, subject to linear dissipative internal feedback with a delay. Our stabilization result is mainly based on the use of the Riemannian geometry methods and Lyapunov functional techniques.
ISSN:1015-8634