中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

报告人： 张 城 博士 (University of Rochester)

题  目：Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2

时  间：2020.12.18（星期五）, 09:30-10:30

地  点：数学院南楼N204

Zoom会议：649 2259 0373   密码：204796

摘  要：Burq-Gerard-Tzvetkov and Hu established Lp estimates for the restriction of eigenfunctions to submanifolds. The estimates are sharp, except for the log loss at the endpoint L2 estimatesfor submanifolds of codimension 2. It has long been believed that the log loss at the endpoint can be removed in general, while the problem is still open. We remove the log loss for totally geodesic submanifolds and curves with nonvanishing geodesic curvature.