### Abstract

We construct an inertial manifold for the evolution equation as a limit of the inertial manifolds for the difference approximations of the TrotterKato type and show that this limit is taken in a C^{1} topology.

Original language | English |
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Pages (from-to) | 1143-1150 |

Number of pages | 8 |

Journal | Proceedings of the American Mathematical Society |

Volume | 127 |

Issue number | 4 |

Publication status | Published - 1999 |

### Keywords

- Evolution equation
- Finite dynamical system
- Inertial manifold
- Long-time behavior

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Kobayashi, K. (1999). C

^{1}approximations of inertial manifolds via finite differences.*Proceedings of the American Mathematical Society*,*127*(4), 1143-1150.