Restriction estimates for hyperbolic paraboloids in higher dimensions
Zhuoran Li
TL;DR
This paper establishes restriction estimates for hyperbolic paraboloids in higher dimensions (n>=5) using polynomial partitioning, advancing the understanding of harmonic analysis in geometric contexts.
Contribution
It introduces restriction estimates for hyperbolic paraboloids in dimensions five and above, applying polynomial partitioning techniques to this class of surfaces.
Findings
Restriction estimates proven for hyperbolic paraboloids in dimensions n>=5
Application of polynomial partitioning method in this context
Enhanced understanding of harmonic analysis on hyperbolic paraboloids
Abstract
In this paper, we prove restriction estimates for hyperbolic paraboloids in dimensions by the polynomial partitioning method.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Numerical methods in inverse problems · Differential Equations and Boundary Problems