Estimates for Green functions of Stokes systems in two dimensional domains

Jongkeun Choi, Doyoon Kim

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the L1-mean oscillations of the coefficients.

    Original languageEnglish
    Pages (from-to)102-125
    Number of pages24
    JournalJournal of Mathematical Analysis and Applications
    Volume471
    Issue number1-2
    DOIs
    Publication statusPublished - 2019 Mar

    Bibliographical note

    Publisher Copyright:
    © 2018 Elsevier Inc.

    Keywords

    • Green function
    • Measurable coefficients
    • Stokes system

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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