Mora, X. Finite-dimensional attracting invariant manifolds for damped semilinear wave equations. (English) Zbl 0642.35061 Contributions to nonlinear partial differential equations, Vol. II, Proc. 2nd Franco-Span. Colloq., Paris 1985, Pitman Res. Notes Math. Ser. 155, 172-183 (1987). [For the entire collection see Zbl 0614.00011.] It is shown that, when the damping is sufficiently large, the dynamical system generated by certain semilinear damped wave equations has the property that its global attractor is contained in a finite-dimensional local invariant manifold of class C 1. Reviewer: X.Mora Cited in 3 ReviewsCited in 14 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 37-XX Dynamical systems and ergodic theory 35B40 Asymptotic behavior of solutions to PDEs Keywords:inertial manifolds; damping; dynamical system; semilinear; wave equations; global attractor; local invariant manifold PDF BibTeX XML