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http://dx.doi.org/10.4134/BKMS.b160631

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

Liang, Fei (Department of Mathematics Xi An University of Science and Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.4, 2017 , pp. 1457-1470 More about this Journal
Abstract
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.
Keywords
viscoelastic wave equation; delay in internal feedback; the Riemannian geometry;
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