Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$
Classical Analysis and ODEs
2026-04-16 v2 Analysis of PDEs
Abstract
We prove bilinear -decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in . As an application, we prove the associated restriction estimate in the range , matching an earlier result for the elliptic paraboloid.
Cite
@article{arxiv.2505.09037,
title = {Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$},
author = {Ciprian Demeter and Shukun Wu},
journal= {arXiv preprint arXiv:2505.09037},
year = {2026}
}
Comments
Referee's suggestions incorporated