中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人：Dr. Chenmin Sun (Université de Cergy-Pontoise, France)
题 目：Optimal time observability for the grushin schr？dinger equation
时 间：2019.07.25（星期四）, 16 :00-17:00
地 点：数学院南楼N224室
摘 要：The Grushin Schr？dinger is a toy model for Schr？dinger 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.
