A sharp square function estimate for the cone in R3

被引：41
|
作者：
Guth, Larry [1 ]
Wang, Hong [2 ]
Zhang, Ruixiang [3 ]
机构：
[1] MIT, Cambridge, MA 02139 USA
[2] Inst Adv Study, Olden Lane, Princeton, NJ 08540 USA
[3] Univ Wisconsin, Madison, WI 53706 USA
来源：
ANNALS OF MATHEMATICS | 2020年 / 192卷 / 02期
基金：
美国国家科学基金会;
关键词：
wave equation; local smoothing; square function estimate; incidence estimate; FOURIER MULTIPLIERS; L-P; AVERAGES; CURVES; BOUNDS;
D O I：
10.4007/annals.2020.192.2.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a sharp square function estimate for the cone in R-3 and consequently the local smoothing conjecture for the wave equation in 2 + 1 dimensions.
引用
收藏
页码：551 / 581
页数：31
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