Some Lp and Hölder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains

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    3 Citations (Scopus)

    Abstract

    We prove uniqueness and existence of certain nonlinear stochastic partial differential equations (SPDEs) of divergence type defined on C 1-domains. Some Lp and Hölder estimates of the solution and its gradient are also obtained.

    Original languageEnglish
    Pages (from-to)583-612
    Number of pages30
    JournalPotential Analysis
    Volume41
    Issue number2
    DOIs
    Publication statusPublished - 2014 Jun

    Bibliographical note

    Funding Information:
    The research of the second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (20120005158)

    Keywords

    • Equations of divergence type
    • Hölder estimates
    • Nonlinear stochastic partial differential equations

    ASJC Scopus subject areas

    • Analysis

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