Regularizing properties of Complex Monge-Amp��re flows

Autor:	T��, Tat Dat
Rok vydání:	2016
Předmět:	Differential Geometry (math.DG) Mathematics::Complex Variables FOS: Mathematics Complex Variables (math.CV) Analysis of PDEs (math.AP)
DOI:	10.48550/arxiv.1604.06261
Popis:	We study the regularizing properties of complex Monge-Amp��re flows on a K��hler manifold $(X,��)$ when the initial data are $��$-psh functions with zero Lelong number at all points. We prove that the general Monge-Amp��re flow has a solution which is immediately smooth. We also prove the uniqueness and stability of solution. 30 pages
Databáze:	OpenAIRE
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