On flows associated to Sobolev vector fields in Wiener spaces: an approach à la DiPerna-Lions

2008/03/10 by Luigi Ambrosio, Alessio Figalli, Ambrosio, Luigi +1 · 2 citations
Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and financial applications #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0803.1359

openalex publication_date 2008/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we extend the DiPerna-Lions theory on ODEs with Sobolev vector fields to the setting of abstract Wiener spaces.

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