Preprint
Inserted: 11 sep 2025
Last Updated: 11 sep 2025
Year: 2025
Abstract:
We prove a weak version of the Chow-Rachevsky theorem for vector fields having only Sobolev regularity and generating suitable flows as selections of solutions to the respective ODEs, for a.e.\ initial datum.
Keywords: Sobolev spaces, Regular Lagrangian flows, global controllability, Geometric control, Chow-Rachevsky theorem,, H\"{o}rmander condition,
Download: