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).
arXiv commentv3, 12 pages ; final version. Improved presentation
References in corpus (5)
- Hopf Algebras, Renormalization and Noncommutative Geometry
- A Rough Path Perspective on Renormalization
- Planarly branched rough paths and rough differential equations on homogeneous spaces
- Dimension-free Euler estimates of rough differential equations
- Tree algebras over topological vector spaces in rough path theory