Restriction estimates for certain surfaces of finite type in $\mathbb{R}^3$
Analysis of PDEs
2021-08-24 v2
Abstract
In this paper, we study the restriction estimate for a certain surface of finite type in , and partially improves the results of Buschenhenke-M\"{u}ller-Vargas. The key ingredients of the proof include the so called generalized rescaling technique based on a decomposition adapted to finite type geometry, a decoupling inequality and reduction of dimension arguments.
Keywords
Cite
@article{arxiv.2003.00408,
title = {Restriction estimates for certain surfaces of finite type in $\mathbb{R}^3$},
author = {Zhuoran Li and Changxing Miao and Jiqiang Zheng},
journal= {arXiv preprint arXiv:2003.00408},
year = {2021}
}
Comments
22 pages