$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature

Abstract

We prove an $l^p$ decoupling inequality for hypersurfaces with nonzero Gaussian curvature and use it to derive a corresponding $l^p$ decoupling for curves not contained in a hyperplane. This extends our earlier work from [2]

18 pages. arXiv admin note: text overlap with arXiv:1403.5335