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Monotone methods for viscosity solutions of nonlinear PDEs

组织者

胡丕丕 , 梁鑫 , 马志婷 , 哈米德·莫菲迪 , Axel G.R. Turnquist , 王丽 , 熊繁升 , 杨朔 , 杨武岳

演讲者

李文博

时间

2025年11月20日 15:15 至 16:15

地点

A3-4-312

线上

Zoom 928 682 9093 (BIMSA)

摘要

In this talk, we investigate viscosity solutions for a class of strongly nonlinear PDEs, including the Monge-Ampère equation, the convex envelope problem and the infinity Laplace equation. We develop monotone two-scale methods and establish their convergence within the Barles-Souganidis framework. Subsequently, we derive pointwise error estimates for solutions with low regularity by leveraging the structures of the problems. Numerical experiments are also presented to validate our theories.