中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Professor Franck Sueur (University of Bordeaux)   

题  目：A new look at the controllability cost of linear evolution systems with a long gaze at localized data

时  间：2023.11.30（星期四）10:30-11:30

地  点：数学院南楼N933

摘 要：In this talk, I will expose a work with Vincent Laheurte and Roberta Bianchini which revisits the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before to turn to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and pseudo-differential systems obtained by linearization in fluid mechanics. In particular we investigate the cost of localized initial data, and in the dispersive case, of initial data which are semi-classically microlocalized.