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Exponential decay of solutions for the plate equation with localized damping
Author(s) -
Simsek Sema,
Khanmamedov Azer
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3185
Subject(s) - exponential decay , mathematics , exponential function , wave equation , mathematical analysis , exponential growth , damped wave , physics , quantum mechanics
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.