Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Chenmin Sun, Université de Cergy-Pontoise, France
Inviter:
Title:
Optimal time observability for the grushin schrodinger equation
Time & Venue:
2019.7.25 16:00-17:00 N224
Abstract:
The Grushin Schr?dinger is a toy model for Schrodinger evolution equation with hypoelliptic operator. It mixes the behaviour of the half-wave and Schr?dinger equation. We consider the problem of observability of this equation by a horizontal strip. In the half wave regime, the eigenmodes concentrated at x = 0 and propagates at speed 1 in the vertical direction. This phenomenon destroyed the validity of the observability for small time T ≤ T*, depending on the size of the strip of the observation. We show that the concentrated eigenmodes are the only obstacles for the small time observability. This talk is based on a joint work with N. Burq.
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