Asymptotics and convergence for the complex Monge-Ampere equation
Analysis of PDEs
2022-09-30 v2
Abstract
We study the asymptotics of complete Kaehler-Einstein metrics on strictly pseudoconvex domains in C^n and derive a convergence theorem for solutions to the corresponding Monge-Ampere equation. If only a portion of the boundary is analytic, the solutions satisfy Gevrey type estimates for tangential derivatives. A counterexample for the model linearized equation suggests that there is no local convergence theorem for the complex Monge-Ampere equation
Cite
@article{arxiv.1806.05371,
title = {Asymptotics and convergence for the complex Monge-Ampere equation},
author = {Qing Han and Xumin Jiang},
journal= {arXiv preprint arXiv:1806.05371},
year = {2022}
}