报告题目：C1,1/3−very weak solutions to the two dimensional Monge–Ampère equation

报 告 人：曹文涛，首都师范大学

报告摘要：This talk is about very weak solutions to Monge-Ampere equations. For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex integration scheme involving a subtle decomposition of the defect at each stage. The decomposition diagonalizes the defect and, in addition, incorporates some of the leading-order error terms of the first perturbation, effectively reducing the required amount of perturbations to one. This talk is based on a joint work with Prof. Jonas Hirsch and  Dominika Inauen.

报告人简介：曹文涛，首都师范大学副研究员，曾获2021年度国家级青年人才项目，主要研究方向是流体与几何中的偏微分方程，部分研究成果发表在 JDG,ARMA,CMH,CPDE,JFA,SIMA 等国际著名数学期刊。

报告时间：2023年12月13日 9:30-11:00

报告地点：腾讯会议ID：680 491 106

主办单位：伟德国际1946源自英国