Pointwise long time behavior for the mixed damped nonlinear wave equation in

In this paper, we investigate the long time behavior of solution for nonlinear wave equation with frictional and visco-elastic damping terms in \begin{document}$ \mathbb{R}^n_+ $\end{document} . It is shown that time, damped effect dominated. The Green's functions linear initial boundary value problem can be described fundamental solutions full space reflected coupled operator. Using Duhamel's principle, get pointwise \partial_{{\bf{x}}}^{\alpha}u |\alpha|\le 1