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arXiv · 2510.03211

Well-posedness for the periodic Hyperbolic nonlinear Schr\"odinger equations

Engin Başakoğlu·Yuzhao Wang
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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.

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Engin Başakoğlu, Yuzhao Wang. 2025-10-03. Well-posedness for the periodic Hyperbolic nonlinear Schr\"odinger equations. https://arxiv.org/abs/2510.03211

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