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arXiv · 1507.07463

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

Felipe Hernandez
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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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Felipe Hernandez. 2015-07-27. A decomposition for the Schrodinger equation with applications to bilinear and multilinear estimates. https://arxiv.org/abs/1507.07463

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