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.
Keywords:
plate equation; polynomial decay; optimal decay; frictional damping; Kelvin-Voigt type damping