C1 approximations of inertial manifolds via finite differences

Kazuo Kobayashi

    Research output: Contribution to journalArticle

    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 languageEnglish
    Pages (from-to)1143-1150
    Number of pages8
    JournalProceedings of the American Mathematical Society
    Volume127
    Issue number4
    Publication statusPublished - 1999

    Fingerprint

    Inertial Manifolds
    Finite Difference
    Topology
    Difference Approximation
    Approximation
    Evolution Equation

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    C1 approximations of inertial manifolds via finite differences. / Kobayashi, Kazuo.

    In: Proceedings of the American Mathematical Society, Vol. 127, No. 4, 1999, p. 1143-1150.

    Research output: Contribution to journalArticle

    @article{79ecd7149e9a4994be6fd3f1be03213a,
    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",
    issn = "0002-9939",
    publisher = "American Mathematical Society",
    number = "4",

    }

    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 -