On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

Yoshihiro Shibata, Senjo Shimizu

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    20 Citations (Scopus)

    Abstract

    Obtained is the Lp estimate of solutions to the resolvent problem for the Stokes system with interface condition in a bounded domain in ℝn. It is the first step to consider the free boundary value problem.

    Original languageEnglish
    Pages (from-to)408-444
    Number of pages37
    JournalJournal of Differential Equations
    Volume191
    Issue number2
    DOIs
    Publication statusPublished - 2003 Jul 1

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    Keywords

    • Bounded domain
    • Interface condition
    • L estimate
    • Resolvent problem
    • Stokes system

    ASJC Scopus subject areas

    • Analysis

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