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OALib Journal期刊
ISSN: 2333-9721
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Energy Decay Estimates of Timoshenko Beam with a Pointwise Feedback Force
具有内部点耗散的Timoshenko梁的能量衰减估计

Keywords: Timoshenko beam,pointwise dissipation,regularity,polynomial decay,exponential decay
Timoshenko梁
,点耗散,正则性,多项式衰减,指数衰减

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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.

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