English

The $L^{\infty}$ estimates for parabolic complex Monge-Ampere and Hessian equations

Analysis of PDEs 2022-02-01 v1 Complex Variables Differential Geometry

Abstract

In this paper, we consider a version of parabolic complex Monge-Ampere equations, and use a PDE approach similar to Phong et al to establish LL^{\infty} and H\"older estimates. We also generalize the LL^{\infty} estimates to parabolic Hessian equations.

Keywords

Cite

@article{arxiv.2201.13339,
  title  = {The $L^{\infty}$ estimates for parabolic complex Monge-Ampere and Hessian equations},
  author = {Xiuxiong Chen and Jingrui Cheng},
  journal= {arXiv preprint arXiv:2201.13339},
  year   = {2022}
}