Linear transport equations for vector fields with subexponentially integrable divergence

Albert Clop, Renjin Jiang, Joan Mateu +1

We face the well-posedness of linear transport Cauchy problems $$\begin{cases}\dfrac{\partial u}{\partial t} + b\cdot\nabla u + c\,u = f&(0,T)\times{\mathbb R}^n\\u(0,\cdot)=u_0\in…