Weak solutions to degenerate complex Monge-Ampere flows II

Studying the (long-term) behavior of the Kahler-Ricci flow on mildly singular varieties, one is naturally led to study weak solutions of degenerate parabolic complex Monge-Ampere equations. The purpose of this article, the second of a series on this subject, is to develop a viscosity theory for degenerate complex Monge-Ampere flows on compact Kahler manifolds. Our general theory allows in particular to define and study the (normalized) Kahler-Ricci flow on varieties with canonical singularities, generalizing results of Song and Tian. (C) 2016 Elsevier Inc. All rights reserved.