On a singularly perturbed wave equation with dynamic boundary conditions
In this paper we analyse a singular perturbation problem for linear wave equations with interior and boundary damping. We show how the solutions converge to the formal parabolic limit problem with dynamic boundary conditions. Conditions are given for uniform convergence in the energy space.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2004 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49689 |
| Online Access: | https://hdl.handle.net/20.500.14352/49689 |
| Access Level: | Open access |
| Keyword: | 517.9 Evolution-equations Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Summary: | In this paper we analyse a singular perturbation problem for linear wave equations with interior and boundary damping. We show how the solutions converge to the formal parabolic limit problem with dynamic boundary conditions. Conditions are given for uniform convergence in the energy space. |
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