11 citations · 56 across the 24 of their papers we have counts for
4 papers · 1 filter
Hamilton's Gradient Estimates and A Monotonicity Formula for Heat Flows on Metric Measure Spaces
Renjin Jiang, Huichun Zhang
In this paper, we extend the Hamilton's gradient estimates \cite{har93} and a monotonicity formula of entropy \cite{ni04} for heat flows from smooth Riemannian manifolds to (non-sm…
A Note on Transport Equation in Quasiconformally Invariant Spaces
Albert Clop, Renjin Jiang, Joan Mateu +1
In this note, we study the well-posedness of the Cauchy problem for the transport equation in the BMO space and certain Triebel-Lizorkin spaces.
Flows for non-smooth vector fields with subexponentially integrable divergence
Albert Clop, Renjin Jiang, Joan Mateu +1
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-Lio…
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…