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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2601.09895 |
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| _version_ | 1866910161242685440 |
|---|---|
| author | Quinn, Connor |
| author_facet | Quinn, Connor |
| contents | We prove lossless Strichartz estimates at the critical exponent $q_c = \frac{2(n+1)}{n-1}$ and the endpoint exponent pair $\left(2,\frac{2(n-1)}{n-3}\right)$ for the Schrödinger equation on rectangular tori of dimension $n-1$ with frequency localized initial data on small time windows with length depending on the frequency parameter $λ\gg 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09895 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lossless Strichartz estimates on rectangular tori over short time intervals Quinn, Connor Analysis of PDEs We prove lossless Strichartz estimates at the critical exponent $q_c = \frac{2(n+1)}{n-1}$ and the endpoint exponent pair $\left(2,\frac{2(n-1)}{n-3}\right)$ for the Schrödinger equation on rectangular tori of dimension $n-1$ with frequency localized initial data on small time windows with length depending on the frequency parameter $λ\gg 1$. |
| title | Lossless Strichartz estimates on rectangular tori over short time intervals |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.09895 |