Xiaoqi Huang

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math.AP2025

Strichartz estimates for the Schrödinger equation on Zoll manifolds

Xiaoqi Huang, Christopher D. Sogge

We obtain optimal space-time estimates in $L_{t, x}^{q}$ spaces for all $q \geq 2$ for solutions to the Schrödinger equation on Zoll manifolds, including, in particular, the standard ro…

math.AP2025

Lossless Strichartz and spectral projection estimates on unbounded manifolds

Xiaoqi Huang, Christopher D. Sogge, Zhongkai Tao +1

We prove new lossless Strichartz and spectral projection estimates on asymptotically hyperbolic surfaces, and, in particular, on all convex cocompact hyperbolic surfaces. In order…