### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

^{1}approximations of inertial manifolds via finite differences.

*Proceedings of the American Mathematical Society*,

*127*(4), 1143-1150.

**C ^{1} approximations of inertial manifolds via finite differences.** / Kobayashi, Kazuo.

Research output: Contribution to journal › Article

^{1}approximations of inertial manifolds via finite differences',

*Proceedings of the American Mathematical Society*, vol. 127, no. 4, pp. 1143-1150.

^{1}approximations of inertial manifolds via finite differences. Proceedings of the American Mathematical Society. 1999;127(4):1143-1150.

}

TY - JOUR

T1 - C1 approximations of inertial manifolds via finite differences

AU - Kobayashi, Kazuo

PY - 1999

Y1 - 1999

N2 - 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 C1 topology.

AB - 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 C1 topology.

KW - Evolution equation

KW - Finite dynamical system

KW - Inertial manifold

KW - Long-time behavior

UR - http://www.scopus.com/inward/record.url?scp=22644451824&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22644451824&partnerID=8YFLogxK

M3 - Article

VL - 127

SP - 1143

EP - 1150

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -