偏微分方程研讨班：Pointwise interior Schauder estimates for Stokes systems in divergence form

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： 李东升（西安交通大学）   

题  目：Pointwise interior Schauder estimates for Stokes systems in divergence form

时  间：2023.04.17（星期一）15:00-16:00

地  点：腾讯会议：812-564-076

摘  要：In this talk, we will first go over the history of Schauder estimates, where the developing of proofs will be emphasized. Second, we will establish pointwise interior Schauder estimates for Stokes systems in divergence form with variable coefficients. The estimates are presented by Campanato's characterization and are attained by an iteration method which was originated by L.Caffarelli to study Schauder estimates for fully nonlinear elliptic equations. Although no continuity in time variable is assumed for the coefficients and the given data, Holder continuity of curls of velocities is surprisingly obtained in both spatial variables and time variable.

个人简介：李东升，西安交通大学数学系教授，博士生导师。长期从事偏微分方程正则性理论方面的研究，目前在国际著名期刊Arch.Rat.Mech.Anal.，Adv.Math., Math.Ann., JFA, CVPDE, JDE, MZ等上发表科研论文70余篇；主持7项国家自然科学基金；获教育部科技进步二等奖一项，陕西省科技进步二等奖两项。