Lagrangian flows driven by BV fields in Wiener spaces

2013/10/21 by Trevisan, Dario
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.5655

Abstract

We establish the renormalization property for essentially bounded solutions of the continuity equation associated to BV fields in Wiener spaces, with values in the associated Cameron-Martin space; thus obtaining, by standard arguments, new uniqueness and stability results for correspondent Lagrangian L^∞-flows. An example related to Neumann elliptic problems is also discussed.

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