Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609475 | Journal of Differential Equations | 2016 | 27 Pages |
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 [17]. 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
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Albert Clop, Renjin Jiang, Joan Mateu, Joan Orobitg,