A decomposition for the Schrödinger equation with applications to bilinear and multilinear estimates

F. Hernández

Type: Article

Publication Date: 2017-11-21

Citations: 1

DOI: https://doi.org/10.3934/cpaa.2018034

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.

Locations

Communications on Pure &amp Applied Analysis - View - PDF
arXiv (Cornell University) - View - PDF

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