Existence and Stabilization of a Degenerate Equation with Nonlinear Boundary Conditions 

M.,M.;Cavalcanti, V.,N.\;Domingos Cavalcanti, and J.,S.;Prates Filho

Abstract
In this work we study a hyperbolic-parabolic equation involving a non-linear boundary feedback $(|y'|^{\rho}+1)y'$ and other non-linear boundary term $|y|^{\gamma}y.$ For $\rho =\gamma$ we prove the exponential and algebraic decay and for $\gamma\neq\rho$ we obtain the algebraic one.