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The existence of an inertial manifold for the 3D Cahn-Hilliard equation withperiodic boundary conditions is verified using the proper extension of theso-called spatial averaging principle introduced by G. Sell and J.Mallet-Paret. Moreover, the extra regularity of this manifold is also obtained.

Inertial Manifolds for the 3D Cahn-Hilliard Equations with Periodic Boundary Conditions