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系统科学与数学 2006
Energy Decay Estimates of Timoshenko Beam with a Pointwise Feedback Force
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Abstract:
In this paper, we study the energy decay estimates of a Timoshenko beam which is subject to a pointwise control force. We show that uniform energy decay may not occur. We give explicit polynomial decay estimates valid for regular initial data, when nonuniform energy decay occurs. Our method consists of deducing the decay estimates from observability inequalities for the associated undamped problem via sharp trace regularity results.