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

Jingrui Cheng; Xiuxiong Chen

arxiv: 2201.13339 · v1 · pith:RXL6HPVTnew · submitted 2022-01-31 · 🧮 math.AP · math.CV· math.DG

The L^(infty) estimates for parabolic complex Monge-Ampere and Hessian equations

Xiuxiong Chen , Jingrui Cheng This is my paper

classification 🧮 math.AP math.CVmath.DG

keywords equationsestimatesinftyparaboliccomplexhessianmonge-ampereapproach

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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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The L^(infty) estimates for parabolic complex Monge-Ampere and Hessian equations

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