approximations of inertial manifolds

via finite differences

Author:
Kazuo Kobayasi

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

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Abstract | References | Similar Articles | Additional Information

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 topology.

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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

DOI:
https://doi.org/10.1090/S0002-9939-99-04927-8

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

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

Article copyright:
© Copyright 1999
American Mathematical Society