Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D
Year: 2026
Type: preprint
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 $\dot{H}^{-\frac{1}{2}}$.
Source: arXiv (Cornell University)
Authors: Bejenaru, Ioan, Borges, Vitor, Chan, Tiklung
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222576383