Uniform decay for the unilateral problem associated to the Kirchhoff type wave equations with nonlinear boundary damping

摘要

In this article, we study the existence of solutions and the uniform decay rate of the energy for nonlinear unilateral problem associated to the Kirchhoff type wave equations with nonlinear boundary damping. To obtain the existence of solutions we make use of Faedo–Galerkin's approximation and also to show the uniform stabilization we use the perturbed energy method.