Decouplings for $d$-dimensional surfaces in $\mathbb{R}^{2d}$
Year: 2016
Type: preprint
Abstract: Bourgain and Demeter obtained the sharp $l^p$ decoupling for two-dimensional nondegenerate surfaces in $\mathbb{R}^4$. As a generalization of their results, we study the $l^p$ decoupling for $d$-dimensional surfaces in $\mathbb{R}^{2d}$. Especially, we obtain the sharp $l^p$ decoupling for 3-dimensional nondegenerate quadratic surfaces in $\mathbb{R}^6$.
Source: arXiv (Cornell University)
Author: Changkeun Oh
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2512958550