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

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

2011-06-13

arxiv.org/abs/1106.2410v2

Mathematics

Classical Analysis and ODEs

Scientific paper

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 Poincar\'e inequality.

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