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

Xiuxiong Chen; Jingrui Cheng

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arXiv · 2201.13339

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

Xiuxiong Chen·Jingrui Cheng

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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 $L^{\infty}$ and H\"older estimates. We also generalize the $L^{\infty}$ estimates to parabolic Hessian equations.

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Xiuxiong Chen, Jingrui Cheng. 2022-01-31. The $L^{\infty}$ estimates for parabolic complex Monge-Ampere and Hessian equations. https://arxiv.org/abs/2201.13339

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