Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping

In this paper, we deal with the uniform stabilization to the mixed problem for a nonlinear wave equation and acoustic boundary conditions on a non-locally reacting boundary. The main purpose is to study the stability when the internal damping acts only over a subset $\omega$ of the domain $\Omega$ and the boundary damping is of the viscoelastic type.