I will present in this talk some new results on the control of Schrödinger equations on tori of arbitrary dimension, with controls acting on a large class of measurable sets. In particular, I will present the first result of control of a dispersive PDE with controls acting on measurable time sets. I will give in this talk a general introduction to such questions, then I will discuss the specifics of the torus geometry and finally give a flavour of the proof of our results. This is a joint work with Hui Zhu, New York University Abu Dhabi.
报告人简介：Nicolas Burq received his PhD degree in 1992 from Université Paris-Sud, France, after graduating from École Normale Supérieure. He was a researcher at CNRS, Ecole Polytechnique, from 1991 to 1998, and since 1998 he has been a professor at Université Paris-Sud, now Université Paris-Saclay.
He is currently a professor at the Laboratoire de Mathématiques d’Orsay and a senior member of the Institut Universitaire de France. He was an invited speaker at the International Congress of Mathematicians (ICM) in 2010. His research interests include microlocal analysis, control theory, and the study of dispersive and nonlinear partial differential equations.
