On sharp Strichartz estimate for hyperbolic Schr\"{o}dinger equation on $\mathbb{T}^3$
Analysis of PDEs
2025-10-03 v1 Classical Analysis and ODEs
Abstract
We prove the sharp Strichartz estimate for hyperbolic Schr\"{o}dinger equation on via an incidence geometry approach. As application, we obtain optimal local well-posedness of nonlinear hyperbolic Schr\"{o}dinger equations.
Cite
@article{arxiv.2510.01886,
title = {On sharp Strichartz estimate for hyperbolic Schr\"{o}dinger equation on $\mathbb{T}^3$},
author = {Baoping Liu and Xu Zheng},
journal= {arXiv preprint arXiv:2510.01886},
year = {2025}
}
Comments
22 pages, 3 figures