Observability inequality and decay rate for wave equations with nonlinear boundary conditions

Date

2017-07-04

Authors

Gao, Yuan
Liang, Jin
Xiao, Ti-Jun

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study a class of wave propagation problems concerning the nonlinearity of dynamic evolution for boundary material. We establish an observability inequality for the related linear system, and make a connection between the linear system and the original nonlinear coupled system. Also, we obtain the desired energy decay rate for the original nonlinear boundary value problem.

Description

Keywords

Nonlinear wave, Coupled boundary equations, Uniform decay rates, Observability inequality

Citation

Gao, Y., Liang, J., & Xiao, T. J. (2017). Observability inequality and decay rate for wave equations with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(161), pp. 1-12.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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