Almost everywhere well-posedness of continuity equations with measure initial data
Analysis of PDEs
2009-10-20 v1
Abstract
The aim of this note is to present some new results concerning "almost everywhere" well-posedness and stability of continuity equations with measure initial data. The proofs of all such results can be found in \cite{amfifrgi}, together with some application to the semiclassical limit of the Schr\"odinger equation.
Cite
@article{arxiv.0910.3573,
title = {Almost everywhere well-posedness of continuity equations with measure initial data},
author = {Luigi Ambrosio and Alessio Figalli},
journal= {arXiv preprint arXiv:0910.3573},
year = {2009}
}