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arXiv · 2510.01886

On sharp Strichartz estimate for hyperbolic Schr\"{o}dinger equation on $\mathbb{T}^3$

Baoping Liu·Xu Zheng
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Abstract

We prove the sharp Strichartz estimate for hyperbolic Schr\"{o}dinger equation on $\mathbb{T}^3 $ via an incidence geometry approach. As application, we obtain optimal local well-posedness of nonlinear hyperbolic Schr\"{o}dinger equations.

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Baoping Liu, Xu Zheng. 2025-10-02. On sharp Strichartz estimate for hyperbolic Schr\"{o}dinger equation on $\mathbb{T}^3$. https://arxiv.org/abs/2510.01886

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