A Sharp Bilinear Restriction Estimate For Paraboloids
Speaker(s): 张军勇博士 北京应用物理与计算数学研究所
Time: October 29 - November 5, 2010
Venue: 资源大厦1218教室
报告题目: A SHARP BILINEAR RESTRICTION ESTIMATE FOR PARABOLOIDS
作者:Tao Terence
报告时间:10月29日上午:8:30-11:30, 下午:2:00--5:00 (星期五)
报告时间:11月 5日上午:8:30-11:30, 下午:2:00--5:00 (星期五)
地点:资源大厦1218教室
报告人:张军勇博士
报告人单位:北京应用物理与计算数学研究所
摘要:Recently Wolff [28] obtained a sharp L2 bilinear restriction theorem for bounded subsets of the cone in general dimension. Here we adapt the argument of Wolff to also handle subsets of “elliptic surfaces” such as paraboloids. Except for an endpoint, this answers a conjecture of Machedon and Klainerman, and also improves upon the known restriction theory for the paraboloid and sphere.