Chow and Rashevskii meet Sobolev
Dynamical Systems
2025-09-16 v1 Analysis of PDEs
Optimization and Control
Abstract
We prove a weak version of the Chow-Rashevskii 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.
Cite
@article{arxiv.2509.11400,
title = {Chow and Rashevskii meet Sobolev},
author = {Sergey Kryzhevich and Eugene Stepanov and Dario Trevisan},
journal= {arXiv preprint arXiv:2509.11400},
year = {2025}
}
Comments
20 pages