Zhuoran Li

activity

20202023

most citedRestriction estimates for certain surfaces of finite type in

R^{3}

2 citations · 2 across the 5 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.AP2023

Restriction estimates for one class of hypersurfaces with vanishing curvature in $R^{n}$

Zhuoran Li, Jiqiang Zheng

In this paper, we study the restriction problem for one class of hypersurfaces with vanishing curvature in $R^{n}$ with $n$ being odd. We obtain an $L^{2} - L^{p}$ restriction est…

math.AP2022

Decoupling for finite type phases in higher dimensions

Chuanwei Gao, Zhuoran Li, Tengfei Zhao +1

In this paper, we establish an $ℓ^{2}$ decoupling inequality for the hypersurface \[\Big\{(ξ_1,...,ξ_{n-1},ξ_1^m+...+ξ_{n-1}^m): (ξ_1,...,ξ_{n-1}) \in [0,1]^{n-1}\Big\}\]associate…

math.AP2021

$ℓ^{2}$ decoupling for certain surfaces of finite type in $R^{3}$

Zhuoran Li, Jiqiang Zheng

In this article, we establish an $ℓ^{2}$ decoupling inequality for the surface $F_{4}^{2} := {(ξ_{1}, ξ_{2}, ξ_{1}^{4} + ξ_{2}^{4}) : (ξ_{1}, ξ_{2}) \in [0, 1]^{2}}$ associated with the decompositio…

math.AP2020★ 2 cited

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

Zhuoran Li, Changxing Miao, Jiqiang Zheng

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

Restriction estimates for one class of hypersurfaces with vanishing curvature in Rn

Decoupling for finite type phases in higher dimensions

ℓ2 decoupling for certain surfaces of finite type in R3

Restriction estimates for certain surfaces of finite type in R3

Restriction estimates for one class of hypersurfaces with vanishing curvature in $R^{n}$

$ℓ^{2}$ decoupling for certain surfaces of finite type in $R^{3}$

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