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arxiv: 1310.5655 · v1 · pith:FP3KX7HFnew · submitted 2013-10-21 · 🧮 math.AP

Lagrangian flows driven by BV fields in Wiener spaces

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keywords associatedfieldsflowslagrangianspaceswienerargumentsbounded
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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.

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