Improved restriction estimate for hyperbolic surfaces in R3

2015/10/02 by Chuhee Cho, Cho, Chuhee, Jungjin Lee +1 · 1 citation
Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20

paper · pdf · doi:10.48550/arxiv.1510.00506

arxiv created 2016/11/03 · arxiv updated 2016/11/04

Abstract

Recently, L. Guth improved the restriction estimate for the surfaces with strictly positive Gaussian curvature in R3. In this paper we generalize his restriction estimate to the surfaces with strictly negative Gaussian curvature.

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• Restriction and decoupling estimates for the hyperbolic paraboloid in ℝ³

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