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This is a Quantitative Study study.

October 13, 2025Open Access

Chow and Rashevskii meet Sobolev

Puntos clave

Proving a weak version of the chow-rashevskii theorem broadens its applicability to sobolev regularity.
Flows generated from sobolev regular vector fields lead to selections of ODE solutions for almost every initial datum.
Findings indicate potential advancement in fields utilizing vector fields and their dynamics.
Implications for various mathematical problems arise from integrating sobolev regularity with the chow-rashevskii theorem.

Resumen

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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Cite This Study

Kryzhevich et al. (Sun,) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec09475 https://doi.org/https://doi.org/10.48550/arxiv.2509.11400