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

Changxing Miao; Jiqiang Zheng; Zhuoran Li

arxiv: 2003.00408 · v2 · pith:MJHBXPPX · submitted 2020-03-01 · math.AP

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

Zhuoran Li , Changxing Miao , Jiqiang Zheng This is my paper

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keywords finitetypecertainmathbbrestrictionadaptedargumentsbuschenhenke-m

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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-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.

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

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