Rough differential equations in the flow approach

Ajay Chandra, Léonard Ferdinand

Published 2024-11-11Version 1

We show how the flow approach of Duch, with elementary differentials as coordinates, can be used to prove local well-posedness for rough stochastic differential equations driven by fractional Brownian motion with Hurst index $H > \frac{1}{4}$. A novelty appearing here is that we use coordinates for the flow that are indexed by trees rather than multi-indices.