具有次指数可积散度的非光滑向量场的流
Flows for non-smooth vector fields with subexponentially integrable divergence
摘要：
本文研究了具有次指数可积散度的Sobolev向量场的流。我们的方法基于DiPerna-Lions [DPL 89]的传输方程。一个关键的成分是使用定量估计的解决方案的柯西问题的运输方程，以获得正则性的密度函数。
英文摘要：
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.
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