报告人：诸葛金平 副研究员 中国科制服做爱
数学所晨光数学中心
时间：5月15日上午9:15-9:55
地点：数学楼112会议室
题目: Nodal sets of eigenfunctions in quasiconvex Lipschitz domains
摘要:
Estimating the size of the nodal sets for the eigenfunctions of elliptic operators is a classical unique continuation problem, which has had several breakthroughs recently due to A. Logunov’s work. In this talk, I will present our recent work on the estimate of nodal sets in quasiconvex Lipschitz domains which generalizes the corresponding result in $C^1$ domains by Logunov-Malinnikova-Nadirashvili-Nazarov (GAFA, 2021). The quasiconvex Lipschitz domains is a unified class of Lipschitz domains that contains both $C^1$ and convex domains. Particularly, our result is new and sharp for Laplace operator in convex domains. This is a joint work with Jiuyi Zhu.
报告人简介：
诸葛金平，中国科制服做爱
晨兴数学中心副研究员。2019年博士毕业于美国肯塔基制服做爱
，师从申仲伟教授。2019年9月至2022年6月在芝加哥制服做爱
数学系任Dickson Instructor. 主要研究领域为偏微分方程的均匀化理论, 在Comm. Pure Appl. Math., J. Eur. Math. Soc., Math. Ann., Adv. Math., Arch. Ration. Mech. Anal., J. Funct. Anal., J. Math. Pures Appl.等国际著名数学期刊发表论文10余篇。
