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On the Commutativity of Flows of Rough Vector Fields by Colombo, Maria; Tione, Riccardo is a scholarly article available to read on EtoBox.

What is On the Commutativity of Flows of Rough Vector Fields about?

In the class of Sobolev vector fields in $\mathbb{R}^n$ of bounded divergence, for which the theory of DiPerna and Lions provides a well defined notion of flow, we characterize the vector fields whose flow commute in terms of the Lie bracket and of a regularity condition on the flows themselves. This extends a classical result of Frobenius in the smooth setting.

Author

Colombo, Maria; Tione, Riccardo

Published

2020

Language

EN