Regularizing properties of Complex Monge-Amp\`ere flows
  We study the regularizing properties of complex Monge-Amp\`ere flows on a K\"ahler manifold $(X,\omega)$ when the initial data are $\omega$-psh functions with zero Lelong number at all points. We prove that the general Monge-Amp\`ere flow has a solution which is immediately smooth. We also prove the uniqueness and stability of solution. 
Tat Dat T\^o
math.CV math.AP math.DG