Lagrangian flows driven by $BV$ fields in Wiener spaces
Analysis of PDEs
2013-10-22 v1
Abstract
We establish the renormalization property for essentially bounded solutions of the continuity equation associated to 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. An example related to Neumann elliptic problems is also discussed.
Cite
@article{arxiv.1310.5655,
title = {Lagrangian flows driven by $BV$ fields in Wiener spaces},
author = {Dario Trevisan},
journal= {arXiv preprint arXiv:1310.5655},
year = {2013}
}