Calculus of Variations and Geometric Measure Theory

D. Trevisan

Lagrangian flows driven by $BV$ fields in Wiener spaces

created by trevisan on 10 Jun 2017



Inserted: 10 jun 2017

Year: 2013

ArXiv: 1310.5655 PDF


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 $L^\infty$-flows. An example related to Neumann elliptic problems is also discussed.