Lagrangian flows driven by \(BV\) fields in Wiener spaces
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Publication:748441
DOI10.1007/s00440-014-0589-1zbMath1329.35109arXiv1310.5655OpenAlexW2063820514WikidataQ62043491 ScholiaQ62043491MaRDI QIDQ748441
Publication date: 29 October 2015
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.5655
continuity equationrenormalization property\(BV\) functionsCameron-Martin spaceessentially bounded solutions
Stochastic calculus of variations and the Malliavin calculus (60H07) Initial value problems for linear first-order PDEs (35F10)
Related Items (5)
The Itô SDEs and Fokker–Planck equations with Osgood and Sobolev coefficients ⋮ Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications ⋮ Lecture notes on the DiPerna–Lions theory in abstract measure spaces ⋮ Some fine properties of BV functions on Wiener spaces ⋮ Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces
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