Rodríguez Bernal, Aníbal and Popescu, Luminita (2004) On a singularly perturbed wave equation with dynamic boundary conditions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 134 (2). 389-413 . ISSN 0308-2105
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Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Evolution-equations |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 12760 |
| Deposited On: | 23 May 2011 17:00 |
| Last Modified: | 23 May 2011 17:00 |
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