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Exponential decay of solutions for the plate equation with localized damping
Authors:Sema Simsek  Azer Khanmamedov
Affiliation:Department of Mathematics, Faculty of Science, Hacettepe University, Beytepe 06800, Ankara, Turkey
Abstract:In this paper, we give a positive answer to the open question raised in [E. Zuazua, Exponential decay for the semilinear wave equation with localized damping in unbounded domains, J. Math. Pures Appl., 70 (1991) 513–529] on the exponential decay of solutions for the semilinear plate equation with localized damping. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:wave equation  plate equation  exponential decay
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