Stabilization of wave equations with variable coefficient and delay in the dynamical boundary feedback

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. <i>Electronic Journal of Differential Equations, 2017</i>(198), pp. 1-14.

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Attribution 4.0 International

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