论文标题

$ \ mathbb {r}^3 $中某些有限类型的某些表面的限制估算

Restriction estimates for certain surfaces of finite type in $\mathbb{R}^3$

论文作者

Li, Zhuoran, Miao, Changxing, Zheng, Jiqiang

论文摘要

在本文中,我们研究了$ \ mathbb {r}^3 $中某个有限类型的限制估计,并部分改善了Buschenhenke-Müller-Vargas的结果。证明的关键要素包括基于适用于有限型几何形状的分解,脱钩不平等和降低维度参数的分解。

In this paper, we study the restriction estimate for a certain surface of finite type in $\mathbb{R}^3$, and partially improves the results of Buschenhenke-Müller-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.

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