Talk by Jeremy Martin
On June 9th, 2021, Jeremy Martin (Institut de recherche mathématique de Rennes) gave a talk about "Geometric conditions for the controllability of free and harmonic Schrödinger equations" as part of the research seminar Analysis of the FernUniversität in Hagen.
In this talk, we will discuss geometric conditions ensuring the exact controllability of the free and harmonic Schrödinger equations. Necessary and sufficient conditions in one dimension will be presented and will be deduced from an uncertainty principle established by Kovrijkine and an infinite dimensional version of the Hautus test for Hermite functions. We will also present necessary conditions in higher dimension which imply negative results of controllability for these equations.
This is a joint work with Karel Pravda-Starov (Université de Rennes 1).