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arXiv · 2610.22237

Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D

Ioan Bejenaru·Vitor Borges·Tiklung Chan
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Abstract

In this article we develop a theory for effectively transferring trilinear restriction estimates for the Schrödinger equation to functions in a more general resolution space adapted to the Schrödinger equation. As an application we provide a global theory for the quadratic NLS in three spatial dimensions in the critical Sobolev space $\dot{H}^{-\frac{1}{2}}$.

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Ioan Bejenaru, Vitor Borges, Tiklung Chan. 2026-10-15. Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D. https://arxiv.org/abs/2610.22237

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