• Title of article

    On generalized Malliavin calculus

  • Author/Authors

    Lototsky، نويسنده , , S.V. and Rozovskii، نويسنده , , B.L. and Sele?i، نويسنده , , D.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    36
  • From page
    808
  • To page
    843
  • Abstract
    The Malliavin derivative, the divergence operator (Skorokhod integral), and the Ornstein–Uhlenbeck operator are extended from the traditional Gaussian setting to nonlinear generalized functionals of white noise. These extensions are related to the new developments in the theory of stochastic PDEs, in particular elliptic PDEs driven by spatial white noise and quantized nonlinear equations.
  • Keywords
    Stochastic PDEs , Malliavin operators , Generalized stochastic processes
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2012
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1578512