Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
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2019
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American Institute of Mathematical Sciences
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Jiménez-Casas, Á., & Rodríguez-Bernal, A. (2019). Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary. Discrete And Continuous Dynamical Systems, 39(9), 5125-5147. https://doi.org/10.3934/dcds.2019208
Abstract
In this paper we show how solutions of a wave equation with distributed damping near the boundary converge to solutions of a wave equation with boundary feedback damping. Sufficient conditions are given for the convergence of solutions to occur in the natural energy space.