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Results for: Affiliation Delft University of Technology Remove constraint Affiliation: Delft University of Technology Creator / Instructor Neerven, Jan van Remove constraint Creator / Instructor: Neerven, Jan van Keywords Evolution equations Remove constraint Keywords: Evolution equations Language English Remove constraint Language: English Resource Type Courseware Remove constraint Resource Type: Courseware

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  • Courseware 
    Stochastic Evolution Equations

    Stochastic Evolution Equations

    The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. Stochastic evolution equations I: Linear stochastic evolution equations: existence and uniqueness, Hölder regularity. Stochastic integral in Banach spaces II: UMD spaces, decoupling inequalities, Itô stochastic integral. Stochastic evolution equations II: Nonlinear stochastic evolution equations: existence and uniqueness, Hölder regularity.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Stochastic partial differential equations Evolution equations
    Resource Type:
    Courseware