Remark on the Lq - L∞ estimate of the Stokes semigroup in a 2-dimensional exterior domain

Wakako Dan, Yoshihiro Shibata

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    Abstract

    We proved Lq - L∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

    Original languageEnglish
    Pages (from-to)223-239
    Number of pages17
    JournalPacific Journal of Mathematics
    Volume189
    Issue number2
    Publication statusPublished - 1999 Jun

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    ASJC Scopus subject areas

    • Mathematics(all)

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