A gradient estimate for the Hermitian Monge-Amp\`ere equation
Analysis of PDEs
2023-02-10 v2 Differential Geometry
Abstract
We improve our previous gradient estimate for the Monge-Amp\`ere equation on a compact Hermitian manifold and give a estimates for the non-mixed second order derivatives. These estimates are required to apply either the Evans-Krylov estimates for second order derivatives or the third derivatives estimates for equations with a gradient term.
Cite
@article{arxiv.2302.02973,
title = {A gradient estimate for the Hermitian Monge-Amp\`ere equation},
author = {Abdellah Hanani},
journal= {arXiv preprint arXiv:2302.02973},
year = {2023}
}
Comments
12 pages