A boundary condition with memory for Kirchhoff plates equations

摘要

In this paper, we study the stability of solutions for Kirchhoff plates equations with a memory condition working at the boundary. We show that such dissipation is strong enough to produce exponential decay to the solution, provided the relaxation functions also decays exponentially. When the relaxation functions decays polynomially, we show that the solution decays polynomially and with the same rate.