${l}^2$ Decoupling for certain degenerate surfaces in $\mathbb{R}^4$
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909222058328064 |
|---|---|
| author | Shuin, Kalachand |
| author_facet | Shuin, Kalachand |
| contents | In this article, we aim to study decoupling inequality for a specific degenerate hypersurface in $\mathbb{R}^4$. Inspired by the work of Bourgain--Demeter and Li--Zheng, we consider the hypersurface $\mathcal{S}^3_{4}:=\{(ξ_1,ξ_2,ξ_3,ξ^4_1+ξ^4_2+ξ^4_3):0\leq ξ_j\leq1, \text{for}~j=1,2,3\}$ in $\mathbb{R}^4$ and study decoupling estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05056 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ${l}^2$ Decoupling for certain degenerate surfaces in $\mathbb{R}^4$ Shuin, Kalachand Classical Analysis and ODEs 42B37, 42B10 In this article, we aim to study decoupling inequality for a specific degenerate hypersurface in $\mathbb{R}^4$. Inspired by the work of Bourgain--Demeter and Li--Zheng, we consider the hypersurface $\mathcal{S}^3_{4}:=\{(ξ_1,ξ_2,ξ_3,ξ^4_1+ξ^4_2+ξ^4_3):0\leq ξ_j\leq1, \text{for}~j=1,2,3\}$ in $\mathbb{R}^4$ and study decoupling estimates. |
| title | ${l}^2$ Decoupling for certain degenerate surfaces in $\mathbb{R}^4$ |
| topic | Classical Analysis and ODEs 42B37, 42B10 |
| url | https://arxiv.org/abs/2406.05056 |