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Local mild solutions for rough stochastic partial differential equations

Published 23 Sep 2018 in math.PR | (1809.08616v2)

Abstract: We investigate mild solutions for stochastic evolution equations driven by a fractional Brownian motion (fBm) with Hurst parameter H in (1/3, 1/2] in infinite-dimensional Banach spaces. Using elements from rough paths theory we introduce an appropriate integral with respect to the fBm. This allows us to solve pathwise our stochastic evolution equation in a suitable function space.

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Authors (2)

  1. Robert Hesse 
  2. Alexandra Neamtu 

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