Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D
Ioan Bejenaru, Vitor Borges, Tiklung Chan
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 H-12.
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