研讨班报告

偏微分方程研讨班:A Second Order Estimate for Convex Solutions of Degenerate k-Hessian Equations

发布时间:2022-10-27
 

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

 

报告人:矫贺明 教授(哈尔滨工业大学)

题  目:A Second Order Estimate for Convex Solutions of Degenerate k-Hessian Equations

时  间:2022.10.27(星期四)09:00-10:00

地  点:腾讯会议: 948-3602-5762

摘  要:In this talk, I will report a recent work with Zhizhang Wang about the second order estimates for degenerate k-Hessian equations. We establish the a priori C1,1 estimates for convex solutions of degenerate k-Hessian equations in a strictly convex domain with non-homogenous boundary conditions under the condition that the right hand side function f is only assumed to satisfy f1/(k−1)∈C1,1.

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