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

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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 Jan 1

ASJC Scopus subject areas

  • Analysis

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