福建师范大学115周年校庆系列学术报告 ——美国加州大学尔湾分校李松鹰教授学术报告

发布者:韩伟发布时间:2022-12-09浏览次数:61

报告题目Weighted L^2-estimates for the Cauchy-Riemann operators and the Kerzmans problem on Sup-norm estimates

时       20221213日(星期8:30am -930am

地       Zoon会议(会议号:944-7178-1564 入会密码:888 

主       数学与统计学院, 福建省分析数学及应用重点实验室、福建省应用数学中心(福建师范大学)

参加对象相关方向教师和研究生

 

报告摘要In this talk, we study the solutions of Cauchy-Riemann equations of several complex variables. First, I will introduce the Hörmander's weighted L^2 estimates for Cauchy-Riemann operator. Second, I will present some applications of   Hörmander's L^2 estimates for the sharp pointwise estimate and uniform estimate for the canonical solution for Cauchy-Riemann equation (-)u=f on a classical bounded symmetric domain in C^n. Third, I will introduce my recent work on solving a long term open problem posed by Kerzman in 1971 on sup-norm estimate for Cauchy-Riemann equations on product domains in C^n.


报告人简介李松鹰(Song-Ying Li),美国加州大学尔湾分校 (UC, Irvine) 教授,闽江学者讲座教授。李松鹰教授的研究领域为多复变偏微分方程尤其在非线性方程解的刚性和正则性,以及Kohn-Laplacian的第一特征值估计等前沿问题有突出工作,在J. Diff. Geom.,  Adv. Math.,  Math. Ann.,  Amer. J. Math.,  Calc. Var. PDEs,  J. Geom. Anal.,  Math. Z.等国际一流数学期刊上发表数十篇学术论文。