Morse-Smale semigroups in Hilbert spaces satisfy Lipschitz shadowing on their global attractor and Hölder shadowing in any positively invariant bounded neighborhood, without requiring an inertial manifold.
& Santamaría, E.C 1,θ-Estimates on the distance of inertial manifolds.Collectanea mathe- matica
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Shadowing for Infinite Dimensional Dynamical Systems
Morse-Smale semigroups in Hilbert spaces satisfy Lipschitz shadowing on their global attractor and Hölder shadowing in any positively invariant bounded neighborhood, without requiring an inertial manifold.