On the definition of a solution to a rough differential equation
arXiv:1803.06479
Abstract
We give an elementary proof that Davie's definition of a solution to a rough differential equation and the notion of solution given by Bailleul in (Flows driven by rough paths) coincide. This provides an alternative point on view on the deep algebraic insights of Cass and Weidner in their work (Tree algebras over topological vector spaces in rough path theory).
v3, 12 pages ; final version. Improved presentation