Observability inequality and decay rate for wave equations with nonlinear boundary conditions
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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. Electronic Journal of Differential Equations, 2017(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.