$C^1$ approximations of inertial manifolds via finite differences
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- by Kazuo Kobayasi PDF
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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.References
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Additional Information
- Kazuo Kobayasi
- Affiliation: Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-Ku, Tokyo 169-8050, Japan
- Email: kzokoba@mn.waseda.ac.jp
- Received by editor(s): July 29, 1997
- Additional Notes: This research was partially supported by Waseda University Grant for special Research Projects 97A-81.
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1143-1150
- MSC (1991): Primary 47H20; Secondary 35K55
- DOI: https://doi.org/10.1090/S0002-9939-99-04927-8
- MathSciNet review: 1610800