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.