Seminar: Quantitative observability for the one-dimensional Schrodinger equation with bounded potentials

Seminar| Institute of Mathematical Sciences

Time: Thursday, January 11th , 2024 , 14:30-15:30

Speaker: Chenmin Sun, Paris-Est Sup

Abstract: The observability problem for the Schrodinger equation concerns the lower bound of the probability for observing quantum particles in a localized region (control domain). In this talk，we consider the the linear Schrodinger equation with a bounded potential on the real line. When the observation domain is thick，we prove an optimal quantitative observability inequality with an explicit control cost. The proof combines techniques from diverse domains of analysis. This talk is based on a joint work with Pei SU and Xu YUAN.