Zhe-Zhi Zhang

Sharp critical Strichartz estimates for a resonant hyperbolic Schr\"odinger flow on the 3D waveguide

We study critical Strichartz estimates for the resonant hyperbolic Schr\"odinger flow on the waveguide $\mathbb{R} \times \mathbb{T}^2$. For initial data localized to frequencies at most $N$, we prove that the unit-time $L^2\to L^{10/3}$ operator norm has sharp order $N^{1/5}$. We further track its dependence on the ob...