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arXiv · 1908.07002

Decouplings for Surfaces of Zero Curvature

Dominique Kemp
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Abstract

We extend the $l^2(L^p)$ decoupling theorem of Bourgain-Demeter to the full class of developable surfaces in $\mathbb{R}^3$. This completes the $l^2$ 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.

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Dominique Kemp. 2019-08-19. Decouplings for Surfaces of Zero Curvature. https://arxiv.org/abs/1908.07002

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