Xiaoqi Huang

collaborators

3 papers

math.AP2026

Inhomogeneous Strichartz estimates on manifolds with nonpositive curvature and applications

Xiaoqi Huang, Connor Quinn

We prove lossless inhomogeneous Strichartz estimates for solutions to the SchrÃ¶dinger equation on compact manifolds with nonpositive curvature over frequency-dependent time interv…

math.AP2025

Restriction of SchrÃ¶dinger eigenfunctions to submanifolds

Xiaoqi Huang, Xing Wang, Cheng Zhang

For SchrÃ¶dinger operators $H_{V} = - I^_{g} + V$ with critically singular potentials $V$ on compact manifolds, we prove sharp estimates for the restriction of eigenfunctions to submanifold…

math.AP2025

Curvature and sharp growth rates of log-quasimodes on compact manifolds

Xiaoqi Huang, Christopher D. Sogge

We obtain new optimal estimates for the $L^{2} (M) \to L^{q} (M)$ , $q \in (2, q_{c}]$ , $q_{c} = 2 (n + 1) / (n - 1)$ , operator norms of spectral projection operators associated with spectral windows $[Î…