Bull. Korean Math. Soc. 2017; 54(4): 1457-1470
Online first article July 10, 2017 Printed July 31, 2017
https://doi.org/10.4134/BKMS.b160631
Copyright © The Korean Mathematical Society.
Fei Liang
Xi An University of Science and Technology
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
MSC numbers: 93D15, 35L05, 35L70
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