Gao, YuanLiang, JinXiao, Ti-Jun2022-06-062022-06-062017-07-04Gao, 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. 1-12.1072-6691https://hdl.handle.net/10877/15854We 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear waveCoupled boundary equationsUniform decay ratesObservability inequalityObservability inequality and decay rate for wave equations with nonlinear boundary conditionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.