A decomposition for the Schrodinger equation with applications to bilinear and multilinear estimates
Analysis of PDEs
2015-07-28 v1
Abstract
A new decomposition for frequency-localized solutions to the Schrodinger equation is given which describes the evolution of the wavefunction using a weighted sum of Lipschitz tubes. As an application of this decomposition, we provide a new proof of the bilinear Strichartz estimate as well as the multilinear restriction theorem for the paraboloid.
Keywords
Cite
@article{arxiv.1507.07463,
title = {A decomposition for the Schrodinger equation with applications to bilinear and multilinear estimates},
author = {Felipe Hernandez},
journal= {arXiv preprint arXiv:1507.07463},
year = {2015}
}
Comments
23 pages, no figures