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发表时间:2021-04-08 阅读次数:362次
报告题目: Square function and local smoothing estimates for Fourier integral operators
报 告 人:刘博辰 副教授
报告人所在单位:南方科技大学
报告日期:2021-04-08 星期四
报告时间:16:00-17:00
报告地点:光华东主楼1704
  
报告摘要:

We prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang. By a classical argument of Mockenhaupt--Seeger--Sogge, it implies the full range of sharp local smoothing estimates for 2+1 dimensional Fourier integral operators satisfying the cinematic curvature condition. In particular, the local smoothing conjecture for wave equations on compact Riemannian surfaces is completely settled. It is joint work with Chuanwei Gao, Changxing Miao, and Yakun Xi.

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本年度学院报告总序号:62

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