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math.AP2009
Almost everywhere well-posedness of continuity equations with measure initial data
Luigi Ambrosio, Alessio Figalli
The aim of this note is to present some new results concerning "almost everywhere" well-posedness and stability of continuity equations with measure initial data. The proofs of all…
math.AP2008★ 5 cited
On flows associated to Sobolev vector fields in Wiener spaces: an approach à la DiPerna-Lions
Luigi Ambrosio, Alessio Figalli
In this paper we extend the DiPerna-Lions theory on ODEs with Sobolev vector fields to the setting of abstract Wiener spaces.