C1 approximations of inertial manifolds via finite differences

Kazuo Kobayashi

C¹ approximations of inertial manifolds via finite differences

Kazuo Kobayashi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 C¹ 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

Keywords

Evolution equation
Finite dynamical system
Inertial manifold
Long-time behavior

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

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title = "C1 approximations of inertial manifolds via finite differences",

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 C1 topology.",

keywords = "Evolution equation, Finite dynamical system, Inertial manifold, Long-time behavior",

author = "Kazuo Kobayashi",

year = "1999",

language = "English",

volume = "127",

pages = "1143--1150",

journal = "Proceedings of the American Mathematical Society",

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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

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M3 - Article

AN - SCOPUS:22644451824

SN - 0002-9939

VL - 127

SP - 1143

EP - 1150

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

C¹ approximations of inertial manifolds via finite differences

Abstract

Keywords

ASJC Scopus subject areas

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