This paper demonstrates weak Chow-Rashevskii theorem applicability for vector fields with Sobolev regularity, suggesting implications for generating flows.
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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Kryzhevich et al. (2025) studied this question.
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