English

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

Classical Analysis and ODEs 2014-07-02 v1

Abstract

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

Keywords

Cite

@article{arxiv.1407.0291,
  title  = {$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature},
  author = {Jean Bourgain and Ciprian Demeter},
  journal= {arXiv preprint arXiv:1407.0291},
  year   = {2014}
}

Comments

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