On Pointwise Gradient Estimates for the Complex Monge-Ampere Equation
Differential Geometry
2009-11-17 v1 Analysis of PDEs
Abstract
In this note, a gradient estimate for the complex Monge-Ampere equation is established. It differs from previous estimates of Yau, Hanani, Blocki, P. Guan, B. Guan - Q. Li in that it is pointwise, and depends only on the infimum of the solution instead of its norm.
Keywords
Cite
@article{arxiv.0911.2881,
title = {On Pointwise Gradient Estimates for the Complex Monge-Ampere Equation},
author = {D. H. Phong and Jacob Sturm},
journal= {arXiv preprint arXiv:0911.2881},
year = {2009}
}