报告题目:Weighted L^2-estimates for the Cauchy-Riemann operators and the Kerzman’s problem on Sup-norm estimates
时 间:2022年12月13日(星期二)上午8:30am -9:30am
地 点:Zoon会议(会议号:944-7178-1564) 入会密码:888
主 办: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与偏微分方程,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。