Flows for non-smooth vector fields with subexponentially integrable divergence
Classical Analysis and ODEs
2016-02-04 v3 Analysis of PDEs
Abstract
In this paper, we study flows associated to Sobolev vector fields with subexponentially integrable divergence. Our approach is based on the transport equation following DiPerna-Lions [DPL89]. A key ingredient is to use a quantitative estimate of solutions to the Cauchy problem of transport equation to obtain the regularity of density functions.
Keywords
Cite
@article{arxiv.1507.04016,
title = {Flows for non-smooth vector fields with subexponentially integrable divergence},
author = {Albert Clop and Renjin Jiang and Joan Mateu and Joan Orobitg},
journal= {arXiv preprint arXiv:1507.04016},
year = {2016}
}
Comments
24 pages, revised