On the well-posedness of the von Kármán plate system with viscoelastic boundary damping

Abstract

In this article, we consider a von Kármán plate system with viscoelastic damping localized on the boundary. Using the multiplier method and exploiting key properties of convex functions, we establish an explicit and general decay rate result without imposing u₀= 0 on Γ as in [5]. This allows a larger class of relaxation functions and initial data, hence, generalizes some previous results existing in the literature.