A weighted Lp-theory for divergence type parabolic PDEs with BMO coefficients on C1-domains

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    8 Citations (Scopus)

    Abstract

    In this paper we present a weighted Lp-theory of parabolic equations of divergence type defined on C1-domains. The leading coefficients have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation), and lower order coefficients are allowed to be unbounded and to blow up near the boundary.

    Original languageEnglish
    Pages (from-to)589-612
    Number of pages24
    JournalJournal of Mathematical Analysis and Applications
    Volume412
    Issue number2
    DOIs
    Publication statusPublished - 2014 Apr 15

    Keywords

    • BMO coefficients
    • L-theory
    • Parabolic equations of divergence type
    • VMO coefficients
    • Weighted Sobolev spaces

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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