Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915937395933184 |
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| author | Demeter, Ciprian Wu, Shukun |
| author_facet | Demeter, Ciprian Wu, Shukun |
| contents | We prove bilinear $\ell^2$-decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in $\mathbb{R}^3$. As an application, we prove the associated restriction estimate in the range $p>22/7$, matching an earlier result for the elliptic paraboloid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$ Demeter, Ciprian Wu, Shukun Classical Analysis and ODEs Analysis of PDEs We prove bilinear $\ell^2$-decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in $\mathbb{R}^3$. As an application, we prove the associated restriction estimate in the range $p>22/7$, matching an earlier result for the elliptic paraboloid. |
| title | Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$ |
| topic | Classical Analysis and ODEs Analysis of PDEs |
| url | https://arxiv.org/abs/2505.09037 |