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MiS Preprint
42/2005
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow
Luigi Ambrosio, Myriam Lecumberry and Stefania Maniglia
Abstract
We prove that the flow associated to a vectorfield with a Sobolev regularity $W^{1,p}$ $p>1$, in the space variable is, for any time, approximately differentiable almost everywhere in space.
