arXiv subjects

Dominique Kemp

Publications and source records attributed to Dominique Kemp.

2 recordsLinked to original sources

arXiv2020

Decouplings for Surfaces of Zero Curvature

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.

math.CA↗

arXiv2020

Decouplings for Real Analytic Surfaces of Revolution

We extend the decoupling results of the first two authors to the case of real analytic surfaces of revolution in $\mathbb{R}^3$. New examples of interest include the torus and the perturbed cone.

math.CA↗