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arXiv · 1407.0291

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

Jean Bourgain·Ciprian Demeter
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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]

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Jean Bourgain, Ciprian Demeter. 2014-07-01. $l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature. https://arxiv.org/abs/1407.0291

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