Shukun Wu

collaborators

5 papers

math.CA2026

Near optimal three-fold additive energy bound for points on convex curves

Adam Cushman, Ciprian Demeter, Shukun Wu

Let $X \subset R$ be finite and let $γ (t) = (t, f (t))$ , where $f$ is strictly convex. We show that \[ J_3(γ(X)) =\#\{(x_1,\ldots,x_6)\in X^6:\sum_{i=1}^3γ(x_i)=\sum_{i=4}^6γ(x_…

math.CA2026

Restriction and decoupling estimates for the hyperbolic paraboloid in $R^{3}$

Ciprian Demeter, Shukun Wu

We prove bilinear $ℓ^{2}$ -decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in $R^{3}$ . As an application, we prove the associ…

math.CA2026

On almost everywhere convergence of planar Bochner-Riesz means

Xiaochun Li, Shukun Wu

We demonstrate the almost everywhere convergence of the planar Bochner-Riesz means for $L^{p}$ functions in the optimal range when $5/3 \leq p \leq 2$ . This is achieved by establishing…

math.CA2026

Sharp microlocal Kakeya--Nikodym estimates for eigenfunctions with applications

Chuanwei Gao, Shukun Wu, Yakun Xi

We extend the microlocal Kakeya--Nikodym bounds for eigenfunctions of Blair--Sogge to a larger range of exponents, which is optimal in all dimensions $n \geq 3$ on general manifolds.…

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…

Near optimal three-fold additive energy bound for points on convex curves

Restriction and decoupling estimates for the hyperbolic paraboloid in R3

On almost everywhere convergence of planar Bochner-Riesz means

Sharp microlocal Kakeya--Nikodym estimates for eigenfunctions with applications

On local smoothing estimates for wave equations

Restriction and decoupling estimates for the hyperbolic paraboloid in $R^{3}$