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research article
On the commutativity of flows of rough vector fields
March 1, 2022
In the class of Sobolev vector fields in 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 commutes 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. (C) 2021 Elsevier Masson SAS. All rights reserved.
Type
research article
Web of Science ID
WOS:000754667400005
Authors
Publication date
2022-03-01
Publisher
Published in
Volume
159
Start page
294
End page
312
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 14, 2022
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