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

Felipe Hernandez

doi:10.3934/cpaa.2018034

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

Felipe Hernandez

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	627-646
Number of pages	20
Journal	Communications on Pure and Applied Analysis
Volume	17
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2018034
State	Published - Mar 2018

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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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AB - 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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A decomposition for the Schrodinger equation with applications to bilinear and Multilinear estimates

Abstract

All Science Journal Classification (ASJC) codes

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