𝐶¹ approximations of inertial manifolds via finite differences

Kobayasi, Kazuo

doi:10.1090/S0002-9939-99-04927-8

$C^1$ approximations of inertial manifolds via finite differences
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Proc. Amer. Math. Soc. 127 (1999), 1143-1150 Request permission

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.

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