报告题目:Quantitative observability for one-dimensional Schrödinger equations with potentials

报告人：袁旭（香港中文大学）

报告时间：2023年11月9日（星期四）15:30-16:30

报告地点：腾讯会议：938-432-626

摘要：In this talk, we will discuss the observability problem for Schrödinger equations. In the existing literature, the observability of Schrödinger equation on compact manifolds and bounded domains has been extensively studied. However, the observability problem on an unbounded set (by measurable control regions) is much less studied in the literature. After discussing briefly the previous results, we will present recent results of the quantitative observability result of the 1D Schrödinger equation on real line. Our proof relies on different techniques for low-frequency and high-frequency estimates. This talk is based on the joint work with Pei Su and Chenmin Sun.

报告人简介：袁旭，香港中文大学研究助理教授，本科毕业于武汉大学数学与统计学院，于巴黎综合理工获得博士学位，研究方向为色散与波方程的控制和动力学理论。相关研究工作发表在CMP, ARMA, TAMS, AIHP, JFA等国际期刊。