The conical K\"ahler-Ricci flow with weak initial data on Fano manifold
  In this paper, we prove the long-time existence and uniqueness of the conical K\"ahler-Ricci flow with weak initial data which admits $L^{p}$ density for some $p>1$ on Fano manifold. Furthermore, we study the convergence behavior of this kind of flow. 
Jiawei Liu and Xi Zhang
math.DG math.AP