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Seminar on microlocal analysis and applications
Observability for Schrodinger equation on the torus
Observability for Schrodinger equation on the torus
Organizers
Xi Chen
,
Long Jin
Speaker
Zhongkai Tao
Time
Friday, December 24, 2021 10:00 AM - 11:00 AM
Venue
1129B
Abstract
The Schrodinger equation describes the motion of a particle on a manifold. The distribution of the quantum particle is closely related to classical dynamics. I will introduce the observability estimate, the control result and describe how they are related to classical dynamics. Then I will talk about my attempt to make the estimates quantitative, via some simple combinatorics. This work comes from my undergraduate research mentored by Semyon Dyatlov.