Title: Local smoothing with loss and weak non-concentration
Speaker: Hans Christianson
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:
In a recent work-in-progress with J. Wunsch, we consider some simple surfaces of revolution with a degenerate hyperbolic periodic geodesic. In the non-compact setting we prove some local smoothing estimates with loss for the linear Schr\"odinger equation, while in the compact setting we prove some weak non-concentration estimates for eigenfunctions.Date: Friday, June 11, 2010