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On a singularly perturbed wave equation with dynamic boundary conditions

Published online by Cambridge University Press:  12 July 2007

Luminiţa Popescu  and
Aníbal Rodriguez-Bernal
Luminiţa Popescu
Affiliation:
University of Craiova, Craiova 1100, Romania
Aníbal Rodriguez-Bernal
Affiliation:
Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 2 , April 2004 , pp. 389 - 413
Copyright
Copyright © Royal Society of Edinburgh 2004

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