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Jiménez Casas, Ángela Rodríguez Bernal, Aníbal 2024-02-27T11:00:21Z 2024-02-27T11:00:21Z 2024 Á. Jiménez-Casas, A. Rodríguez-Bernal, A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary, Nonlinear Analysis 241 (2024) 113492. https://doi.org/10.1016/j.na.2024.113492. 0362-546X 10.1016/j.na.2024.113492 https://hdl.handle.net/20.500.14352/101762 https://doi.org/10.1016/j.na.2024.113492 In this paper we study an initial and boundary value problem for damped wave equations with nonlinear singular terms concentrating away from the boundary of the domain, on an interior neighbourhood of a hyper-surface M that collapses to M as ɛ goes to zero. We describe the conditions for well posedness of both the approximating and limit problems, as well as the convergence, at the singular limit, of the solutions of the former to solutions of the latter, when the parameter ɛ goes to zero. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ restricted access Attribution-NonCommercial-NoDerivatives 4.0 International A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary journal article