English

Decouplings for Surfaces of Zero Curvature

Classical Analysis and ODEs 2020-02-11 v2

Abstract

We extend the l2(Lp)l^2(L^p) decoupling theorem of Bourgain-Demeter to the full class of developable surfaces in R3\mathbb{R}^3. This completes the l2l^2 decoupling theory of the zero Gaussian curvature surfaces that lack planar (or umbilic) points. Of central interest to our study is the tangent surface associated to the moment curve.

Keywords

Cite

@article{arxiv.1908.07002,
  title  = {Decouplings for Surfaces of Zero Curvature},
  author = {Dominique Kemp},
  journal= {arXiv preprint arXiv:1908.07002},
  year   = {2020}
}

Comments

2 figures. A few minor corrections and simplifications have been made since the previous submission

R2 v1 2026-06-23T10:51:25.890Z