Stabilization of wave equations with variable coefficient and delay in the dynamical boundary feedback
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Date
2017-08-09
Authors
Guo, Dandan
Zhang, Zhifei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we consider the boundary stabilization of a wave equation with variable coefficients. This equation has an acceleration term and a delayed velocity term on the boundary. Under suitable geometric conditions, we obtain the exponential decay for the solutions. Our proof relies on the geometric multiplier method and the Lyapunov approach.
Description
Keywords
Difference scheme, Inverse elliptic problem, Stability, Overdetermination, Nonlocal problem
Citation
Guo, D., & Zhang, Z. (2017). Stabilization of wave equations with variable coefficient and delay in the dynamical boundary feedback. Electronic Journal of Differential Equations, 2017(198), pp. 1-14.
Rights
Attribution 4.0 International