We establish the renormalization property for essentially bounded solutions of the continuity equation associated to bounded variation (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 flows.
Lagrangian flows driven by BV fields in Wiener spaces
TREVISAN, DARIO
2014-01-01
Abstract
We establish the renormalization property for essentially bounded solutions of the continuity equation associated to bounded variation (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 flows.File in questo prodotto:
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