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On a singularly perturbed wave equation with dynamic boundary conditions

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 15:00
Last Modified:06 Feb 2014 09:32

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