On local smoothing estimates for wave equations
오창근
129동 307호
0
107
2025.05.14 16:24
| 구분 | 조화해석학 |
|---|---|
| 일정 | 2025-05-20 16:00 ~ 18:00 |
| 강연자 | Shengwen Gan (UW Madison) |
| 기타 | |
| 담당교수 | 오창근 |
The previously known exponent in the local smoothing estimate is the decoupling exponent p=2(n+1)/(n-1). In this talk, I will first introduce local smoothing estimates and compare them with restriction estimates. Then, I will discuss a new method that incorporates wave packet density and refined decoupling, and briefly outline how this approach leads to a local smoothing estimate with an exponent that improves the decoupling exponent.
