Weak solutions to degenerate complex Monge-Amp\'ere flows I
  Studying the (long-term) behavior of the K\"ahler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Amp\'ere equations.   The purpose of this article, the first of a series on this subject, is to develop a viscosity theory for degenerate complex Monge-Amp\`ere flows in domains of $\C^n$. 
Philippe Eyssidieux, Vincent Guedj and Ahmed Zeriahi
math.CV math.AP