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Energy Decay Rate Of The Plate Equation With Potential And Indefinite Damping

Posted on:2008-06-14Degree:MasterType:Thesis
Country:ChinaCandidate:Y T WuFull Text:PDF
GTID:2120360242463983Subject:Operational Research and Cybernetics
Abstract/Summary:PDF Full Text Request
We consider the plate equation with a potential term and an indefinite sign damping. By means of the global Carleman-type estimate and the usual energy estimate, we show that the energy of the system decays exponentially. Also, using the classical perturbation theory, we give an explicit upper bound estimate on the negative damping to guarantee the exponential decay rate.
Keywords/Search Tags:Plate equation, indefinite damping, Carleman estimate, observability inequality, exponential decay rate
PDF Full Text Request
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