Regularizing properties of Complex Monge-Amp\`ere flows
Abstract
We study the regularizing properties of complex Monge-Amp\`ere flows on a K\"ahler manifold (X,ω) when the initial data are ω-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.
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