Regularizing properties of complex Monge-Ampère flows

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• 作者：Tat Dat Tô ; ^{tat-dat.to@math.univ-toulouse.fr}
• 关键词：Monge&ndash ; Ampè ; re flows ; Kä ; hler&ndash ; Ricci flows
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：272
• 期：5
• 页码：2058-2091
• 全文大小：503 K
• 卷排序：272

文摘

We study the regularizing properties of complex Monge–Ampère flows on a Kähler manifold (X,ω)(X,ω) when the initial data are ω-psh functions with zero Lelong number at all points. We prove that the general Monge–Ampère flow has a solution which is immediately smooth. We also prove the uniqueness and stability of solution.