Shukun Wu

collaborators

3 papers

math.CA2025

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.CA2025

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.AP2025

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…

Sharp microlocal Kakeya--Nikodym estimates for eigenfunctions with applications

Restriction and decoupling estimates for the hyperbolic paraboloid in R3

On local smoothing estimates for wave equations

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