Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
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.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/88790 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/88790 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 519.6 Boundary feedback Singular perturbation Localized damping Hyperbolic problems Concentrating integrals Energy estimates Matemáticas (Matemáticas) Ecuaciones diferenciales Análisis numérico 12 Matemáticas 1206.12 Ecuaciones Diferenciales Ordinarias 1206 Análisis Numérico |
| Sumario: | 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. |
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