Exponential decay of solutions for the plate equation with localized damping

2013/10/27 by Sema Simsek, Azer Khanmamedov, Simsek, Sema +1
Mathematics · #35B40 #35L05 #35L30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B40 #msc:35L05 #msc:35L30

paper · pdf · doi:10.48550/arxiv.1310.7243

16 pages

arxiv created 2013/11/25 · arxiv updated 2013/11/26

Abstract

In this paper, we give 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.

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