Chow and Rashevskii meet Sobolev

Fuente: arXiv
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Autores principales: Kryzhevich, Sergey, Stepanov, Eugene, Trevisan, Dario
Formato: Preprint
Publicado: 2025
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author Kryzhevich, Sergey
Stepanov, Eugene
Trevisan, Dario
author_facet Kryzhevich, Sergey
Stepanov, Eugene
Trevisan, Dario
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11400
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chow and Rashevskii meet Sobolev
Kryzhevich, Sergey
Stepanov, Eugene
Trevisan, Dario
Dynamical Systems
Analysis of PDEs
Optimization and Control
34H05
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.
title Chow and Rashevskii meet Sobolev
topic Dynamical Systems
Analysis of PDEs
Optimization and Control
34H05
url https://arxiv.org/abs/2509.11400