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approximations of inertial manifolds via finite differences
Authors:Kazuo Kobayasi
Institution:Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-Ku, Tokyo 169-8050, Japan
Abstract:We construct an inertial manifold for the evolution equation as a limit of the inertial manifolds for the difference approximations of the Trotter-Kato type and show that this limit is taken in a $C^{1}$ topology.

Keywords:Inertial manifold  long-time behavior  finite dynamical system  evolution equation
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