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

2015/07/27 by Felipe Hernández, Felipe Hernandez, Hernandez, Felipe
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1507.07463

23 pages, no figures

arxiv created 2015/07/27 · openalex publication_date 2015/07/27 · arxiv updated 2015/07/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

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.

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