Exponential decay of solutions for the plate equation with localized damping

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SIMSEK S., Khanmamedov A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.38, no.9, pp.1767-1780, 2015 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 38 Issue: 9
• Publication Date: 2015
• Doi Number: 10.1002/mma.3185
• Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1767-1780
• Open Archive Collection: AVESIS Open Access Collection
• Hacettepe University Affiliated: Yes

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 thesemilinear plate equation with localized damping. Copyright (c) 2014 John Wiley & Sons, Ltd.