Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911190946414592 |
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| author | Başakoğlu, Engin Wang, Yuzhao |
| author_facet | Başakoğlu, Engin Wang, Yuzhao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations Başakoğlu, Engin Wang, Yuzhao Analysis of PDEs 35A01, 35Q55 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. |
| title | Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations |
| topic | Analysis of PDEs 35A01, 35Q55 |
| url | https://arxiv.org/abs/2510.03211 |