Exponential stability of the plate equations with potential of second order and indefinite damping

We study the exponential stability of the plate equations with potential of second order and indefinite sign damping term. By means of a global Carleman-type estimate and the usual perturbation method, we show that the energy of the system decays exponentially provided that the negative damping is s...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 359; no. 1; pp. 62 - 75
Main Authors:	Li, Jing, Wu, Yingtao
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01-11-2009 Elsevier
Subjects:	Carleman estimate Exact sciences and technology Exponential decay rate Indefinite damping Mathematical analysis Mathematics Observability inequality Plate equation Sciences and techniques of general use Indefinite damping Carleman estimate Exponential decay rate Observability inequality Plate equation Damping Second order Perturbation Exponential decay Upper bound Perturbation method Energy Mathematical analysis Application Observability Numerical stability
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Summary:	We study the exponential stability of the plate equations with potential of second order and indefinite sign damping term. By means of a global Carleman-type estimate and the usual perturbation method, we show that the energy of the system decays exponentially provided that the negative damping is sufficiently small. Both the energy decay rate and the upper bound estimate on the negative damping are given explicitly.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2009.05.030