Chow and Rashevskii meet Sobolev

Sergey Kryzhevich, Eugene Stepanov, Dario Trevisan

Published: 2025/9/14

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.

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