Optimal Decay Rates for Kirchhoff Plates with Intermediate Damping
DOI:
https://doi.org/10.5540/tema.2020.021.02.261Keywords:
Plate equation, polynomial decay, optimal decay, frictional damping, Kelvin-Voigt type damping.Abstract
In this paper we study the asymptotic behavior of Kirchhoff plates with intermediate damping. The damping considered contemplates the frictional and the Kelvin-Voigt type dampings. We show that the semigroup those equations decays polynomially in time at least with the rate t^{-1/(2-2θ)}, where θ is a parameter in the interval [0,1[. Moreover, we prove that this decay rate is optimal.Downloads
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