Math @ Duke
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Publications [#346574] of Yuan Gao
search scholar.google.com.Papers Published
- Gao, Y; Liang, J; Xiao, TJ, Observability inequality and decay rate for wave equations with nonlinear boundary conditions,
Electronic Journal of Differential Equations, vol. 2017
(July, 2017)
(last updated on 2022/05/16)
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.
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