C1 approximations of inertial manifolds via finite differences

Kazuo Kobayashi*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)


    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 languageEnglish
    Pages (from-to)1143-1150
    Number of pages8
    JournalProceedings of the American Mathematical Society
    Issue number4
    Publication statusPublished - 1999


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

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics


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