Global solvability and uniform decays of solutions to quasilinear equationwith nonlinear boundary dissipation

A n-dimensional quasiliner wave equation with nonlinear boundary dissipatio n is considered. Global existence,uniqueness and uniform decay rates are es tablished for the model, under the assumption that the H-1(Omega) x L-2(Ome ga) norms of the initial data are sufficiently small. The result presented in this paper extends/generalizes those obtained recently in [13], where, b y contrast, interior nonlinear damping was considered; and those obtained i n [31], where the one-dimensional wave equation with linear boundary dampin g was treated.