Weak solutions to degenerate complex Monge-Amp\'ere Flows II

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 second of a series on this subject, is to develop a viscosity theory for degenerate complex Monge-Amp'ere flows on compact K"ahler manifolds. Our general theory allows in particular to define and study the (normalized) K"ahler-Ricci flow on varieties with canonical singularities, generalizing results of Song and Tian.