Decay rates for solutions of semilinear wave equations with a memory condition at the boundary

In this paper, we study the stability of solutions for semilinear wave equations whoseboundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the relaxation function also decays exp...

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Bibliographic Details
Main Author: M. L. Santos
Format: Article
Language:English
Published: University of Szeged 2002-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=108