Rodríguez Bernal, AníbalJiménez Casas, Angela2023-11-172023-11-172019-05Jiménez-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.201920810.3934/dcds.2019208https://hdl.handle.net/20.500.14352/88790In 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps//doi.org/10.3934/dcds.2019208https://www.aimsciences.org/article/doi/10.3934/dcds.2019208open access517.9519.6Boundary feedbackSingular perturbationLocalized dampingHyperbolic problemsConcentrating integralsEnergy estimatesMatemáticas (Matemáticas)Ecuaciones diferencialesAnálisis numérico12 Matemáticas1206.12 Ecuaciones Diferenciales Ordinarias1206 Análisis Numérico