Abstract:
{Sufficient conditions for the existence of an inertial manifold are found for the equation $u_{tt}+2\gamma u_t-\Delta u=f(u, u_t)$,
$u=u(x, t), x\in\Omega\Subset\mathbb{R}^N, u|_{\partial\Omega}=0, t>0$ and the function $f$ is supposed to satisfy the Lipschitz condition.
Key words:inertial manifold, hyperbolic equation with dissipation.