On sharp Strichartz estimate for hyperbolic Schrödinger equation on $\mathbb{T}^3$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911189036957696 |
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| author | Liu, Baoping Zheng, Xu |
| author_facet | Liu, Baoping Zheng, Xu |
| contents | We prove the sharp Strichartz estimate for hyperbolic Schrödinger equation on $\mathbb{T}^3 $ via an incidence geometry approach. As application, we obtain optimal local well-posedness of nonlinear hyperbolic Schrödinger equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01886 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On sharp Strichartz estimate for hyperbolic Schrödinger equation on $\mathbb{T}^3$ Liu, Baoping Zheng, Xu Analysis of PDEs Classical Analysis and ODEs 35Q55 We prove the sharp Strichartz estimate for hyperbolic Schrödinger equation on $\mathbb{T}^3 $ via an incidence geometry approach. As application, we obtain optimal local well-posedness of nonlinear hyperbolic Schrödinger equations. |
| title | On sharp Strichartz estimate for hyperbolic Schrödinger equation on $\mathbb{T}^3$ |
| topic | Analysis of PDEs Classical Analysis and ODEs 35Q55 |
| url | https://arxiv.org/abs/2510.01886 |