<b>Polynomial and Analytic Boundary Feedback Stabilization of Square Plate</b> - doi: 10.5269/bspm.v27i2.10207

Abstract

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.