Xiaochun Li

collaborators

2 papers

math.AP2026

On local smoothing estimates for wave equations

Shengwen Gan, Danqing He, Xiaochun Li +1

We prove sharp local smoothing estimates for wave equations on compact Riemannian manifolds in $n + 1$ dimensions for odd $n$ and obtain improved estimates in even dimensions. This i…

math.CA2024

On pointwise convergence of cone multipliers

Peng Chen, Danqing He, Xiaochun Li +1

For $p \geq 2$ , and $I^» > max {n ∣ \frac{1}{p} - \frac{1}{2} ∣ - \frac{1}{2}, 0}$ , we prove the pointwise convergence of cone multipliers, i.e. $t \to \infty lim T_{t}^{I^} » (f) \to f a.e.,$ w…