The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations

IF 0.5 4区数学 Q3 MATHEMATICS Pure and Applied Mathematics Quarterly Pub Date : 2024-01-30 DOI:10.4310/pamq.2023.v19.n6.a10

Xiuxiong Chen, Jingrui Cheng

引用次数: 0

Abstract

In this paper, we consider a version of parabolic complex Monge–Ampère equations, and use a PDE approach similar to Phong et al. to establish $L^\infty$ and Hölder estimates. We also generalize the $L^\infty$ estimates to parabolic Hessian equations.

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抛物复合 Monge-Ampère 和 Hessian 方程的 $L^\infty$ 估计值

在本文中，我们考虑了抛物复合 Monge-Ampère 方程的一个版本，并使用与 Phong 等人类似的 PDE 方法建立了 $L^\infty$ 和 Hölder 估计值。我们还将 $L^\infty$ 估计值推广到抛物 Hessian 方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.

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