Optimal smoothing estimates and trace theorems
主 题: Optimal smoothing estimates and trace theorems
报告人: Professor Mitsuru Sugimoto (Nagoya University, Japan)
时 间: 2016-03-25 15:00 - 16:00
地 点: 理科一号楼 1114（数学所活动）
Our purpose is to study the optimal constant and extremising initial data for a broad class of smoothing estimates for Schr\"odinger equations, together with trace theorems as their dual estimates. Rather less was known about these problems except for Simon’s work which discussed only a special smoothing estimate, but we will almost completely answer them by a systematic treatment. We will also mention a relation between this problem and Mizohata-Takeuchi Conjecture on the well-posedness of Cauchy problem for Schr\"odinger equation with drift term.