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arXiv · 0911.2881

On Pointwise Gradient Estimates for the Complex Monge-Ampere Equation

D. H. Phong·Jacob Sturm
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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 $C^0$ norm.

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BibTeXRIS

D. H. Phong, Jacob Sturm. 2009-11-15. On Pointwise Gradient Estimates for the Complex Monge-Ampere Equation. https://arxiv.org/abs/0911.2881

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