Regularizing properties of Complex Monge-Amp\`ere flows
Complex Variables
2020-01-10 v1 Analysis of PDEs
Differential Geometry
Abstract
We study the regularizing properties of complex Monge-Amp\`ere flows on a K\"ahler manifold when the initial data are -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.
Keywords
Cite
@article{arxiv.1604.06261,
title = {Regularizing properties of Complex Monge-Amp\`ere flows},
author = {Tat Dat Tô},
journal= {arXiv preprint arXiv:1604.06261},
year = {2020}
}
Comments
30 pages