Rough evolution equations

نویسندگان

  • MASSIMILIANO GUBINELLI
  • SAMY TINDEL
چکیده

We show how to generalize Lyons’ rough paths theory in order to give a pathwise meaning to some non-linear infinite-dimensional evolution equations associated to an analytic semigroup and driven by an irregular noise. As an illustration, we apply the theory to a class of 1d SPDEs driven by a space-time fractional Brownian motion.

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تاریخ انتشار 2005