Polynomial and Analytic Boundary Feedback Stabilization of Square Plate - doi: 10.5269/bspm.v27i2.10207
DOI :
https://doi.org/10.5269/bspm.v27i2.10207Mots-clés :
Plate equation, polynomial stabilization, analytic stabilization, observability inequality, low and high frequency.Résumé
We consider a boundary feedback stabilization problem of the plate equation in a square, in the case where the geometric condition of Ammari-Tucsnak [6] is not satisfied. We prove a polynomial decay for regular initial data. Moreover, we prove an exponential stability result for some subspace of the energy space.Finally, we give a precise estimate on the analyticity of reachable functions where we have an exponential stability.
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Publié
2010-05-19
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Research Articles
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