Well-posedness for the periodic Hyperbolic nonlinear Schr\"odinger equations
Analysis of PDEs
2025-10-06 v1
Abstract
We establish local well-posedness for the hyperbolic nonlinear Schrodinger equation (HNLS) in the critical spaces. Following the approach of Killip and Visan, we derive scale-invariant Strichartz estimates for HNLS on both rational and irrational tori, thereby removing the epsilon-loss of derivative present in the hyperbolic Strichartz estimates of Bourgain and Demeter.
Keywords
Cite
@article{arxiv.2510.03211,
title = {Well-posedness for the periodic Hyperbolic nonlinear Schr\"odinger equations},
author = {Engin Başakoğlu and Yuzhao Wang},
journal= {arXiv preprint arXiv:2510.03211},
year = {2025}
}
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26 pages