On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain

Wakako Dan, Yoshihiro Shibata

    Research output: Contribution to journal › Article

    34 Citations (Scopus)

    Abstract

    We proved Lq - Lr type estimates of the Stokes semigroup in a two dimensional exterior domain. Our proof is based on the local energy decay estimate obtained by investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

    Original languageEnglish
    Pages (from-to)180-207
    Number of pages28
    JournalJournal of the Mathematical Society of Japan
    Volume51
    Issue number1
    Publication statusPublished - 1999 Jan

    Fingerprint

    Local Energy Decay
    Stokes Operator
    Decay Estimates
    Exterior Domain
    Energy Estimates
    Resolvent
    Stokes
    Semigroup
    Asymptotic Behavior
    Estimate

    Keywords

    • Boundary value problem in a two dimensional exterior domain
    • L - L estimates
    • Local energy decay
    • Low frequency asymptotic behavior
    • Stokes semigroup

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain. / Dan, Wakako; Shibata, Yoshihiro.

    In: Journal of the Mathematical Society of Japan, Vol. 51, No. 1, 01.1999, p. 180-207.

    Research output: Contribution to journal › Article

    Dan, W & Shibata, Y 1999, 'On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain', Journal of the Mathematical Society of Japan, vol. 51, no. 1, pp. 180-207.
    Dan W, Shibata Y. On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain. Journal of the Mathematical Society of Japan. 1999 Jan;51(1):180-207.
    Dan, Wakako ; Shibata, Yoshihiro. / On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain. In: Journal of the Mathematical Society of Japan. 1999 ; Vol. 51, No. 1. pp. 180-207.
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    keywords = "Boundary value problem in a two dimensional exterior domain, L - L estimates, Local energy decay, Low frequency asymptotic behavior, Stokes semigroup",
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    KW - Local energy decay

    KW - Low frequency asymptotic behavior

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