20231026 偏微分方程新进展小型研讨会

偏微分方程新进展小型研讨会

报告题目一：On sharp discrete Hardy-Rellich inequalities

报告人：黄侠副教授（华东师范大学）

摘要：Although the history of Hardy inequalities found its origin somehow in the discrete setting, the discrete Hardy-Rellich inequalities are much less understood comparing to the continuous situation. We will show discrete Hardy-Rellich inequalities onwithand optimal constants, for any. Our approach is to establish some sharp first order Hardy inequalities using weighted equality, and then to handle the higher order cases by iteration. We provide also a first order Leray type inequality onwith the same constants as the continuous setting. The main idea to get weighted equalities works also for general graphs. This is a joint work with Professor Dong Ye at ECNU.

报告题目二：Super polyharmonic property and asymptotic behaviorof solutions to the higher order Hardy-Henon equation near isolated singularities

报告人：李圆博士（华东师范大学）

摘要：

报告时间：2023年10月26日（周四） 上午9：30-11：30

报告地点：数学学院425报告厅

邀请人：徐露