Inertial Manifold for a Hyperbolic Equation with Dissipation / Chalkina N.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 6. P. 3-7 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

Sufficient conditions for the existence of an inertial manifold are found for the equation utt + 2γut - Δu = f(u), u = u(x, t), x∈Ω⊂RN, u|∂Ω = 0, t > 0, under the assumption that the function f satisfies the Lipschitz condition.

Key words: inertial manifold, hyperbolic equation with dissipation.

№ 6/2011