Invariant submanifolds for solutions to rough differential equations
Probability
2025-11-21 v2
Abstract
In this paper we provide necessary and sufficient conditions for invariance of finite dimensional submanifolds for rough differential equations (RDEs) with values in a Banach space. Furthermore, we apply our findings to the particular situation of random RDEs driven by -Wiener processes and random RDEs driven by -fractional Brownian motion.
Cite
@article{arxiv.2403.10121,
title = {Invariant submanifolds for solutions to rough differential equations},
author = {Stefan Tappe},
journal= {arXiv preprint arXiv:2403.10121},
year = {2025}
}
Comments
15 pages