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arXiv · 1106.2410

Step-s involutive families of vector fields, their orbits and the Poincaré inequality

Annamaria Montanari·Daniele Morbidelli
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Abstract

We consider a family of $C^1$ vector fields satisfying a suitable higher order involutivity condition. We discuss the definition of commutators, the regularity of Sussmann's orbits and the Poincaré inequality.

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BibTeXRIS

Annamaria Montanari, Daniele Morbidelli. 2012-09-17. Step-s involutive families of vector fields, their orbits and the Poincaré inequality. https://doi.org/10.1016/j.matpur.2012.09.005

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