An improved spectral inequality for sums of eigenfunctions

报告人：Faouzi Triki （Université Grenoble Alpes）

报告时间：2024年7月5日15:00-16:00

地点：海纳苑2幢102室

摘要：In the talk we revisit the problem of unique continuation of a finite sum of eigenfunctions of an elliptic operator in a divergence form from an open set to the whole domain. We show that the problem is of hyperbolic type for a single eigenfunction, and of elliptic type for sums that have two and more eigenfunctions. This inverse problem can be found in many engineering  applications  and is also related to control theory for the heat equation. 

联系人：赖俊（laijun6@zju.edu.cn）