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

Yoshihiro Shibata, Senjo Shimizu

    Research output: Contribution to journalArticle

    16 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

    Fingerprint

    Resolvent Estimates
    Free Boundary Value Problems
    Stokes System
    Lp Estimates
    Interface Problems
    Interface Conditions
    Resolvent
    Boundary value problems
    Bounded Domain

    Keywords

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

    ASJC Scopus subject areas

    • Analysis

    Cite this

    On a resolvent estimate of the interface problem for the Stokes system in a bounded domain. / Shibata, Yoshihiro; Shimizu, Senjo.

    In: Journal of Differential Equations, Vol. 191, No. 2, 01.07.2003, p. 408-444.

    Research output: Contribution to journalArticle

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