On a singularly perturbed wave equation with dynamic boundary conditions

Author: Popescu Luminita   Rodriguez-Bernal Aníbal  

Publisher: Royal Society of Edinburgh

ISSN: 1473-7124

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.134, Iss.2, 2004-05, pp. : 389-413

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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.