Parabolic Complex Monge-Amp\`ere Type Equations on Closed Hermitian Manifolds
Analysis of PDEs
2013-11-14 v1 Differential Geometry
Abstract
We study the parabolic complex Monge-Amp\`ere type equations on closed Hermitian manfolds. We derive uniform {\em a priori} estimates for normalized solutions, and then prove the convergence. The result also yields a way to carry out method of continuity for elliptic Monge-Amp\'ere type equations.
Keywords
Cite
@article{arxiv.1311.3002,
title = {Parabolic Complex Monge-Amp\`ere Type Equations on Closed Hermitian Manifolds},
author = {Wei Sun},
journal= {arXiv preprint arXiv:1311.3002},
year = {2013}
}