Arxiv
| Presentation Name： | Square function and local smoothing estimates for Fourier integral operators |
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| Presenter： | 刘博辰 副教授 |
| Date： | 2021-04-08 |
| Location： | 光华东主楼1704 |
| Abstract🧑🏽💻： | 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. |
| Annual Speech Directory： | No.61 |
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