Showing 2024Show all
3 papers · 1 filter
math.CA2024
The oscillatory biest operator
Cristina Benea, Itamar Oliveira
We prove the boundedness of a trilinear operator that is modulation invariant and which contains curvature information given by the presence of a complex exponential, adding to the…
math.AP2024
Probabilistic well-posedness of generalized cubic nonlinear Schrödinger equations with strong dispersion using higher order expansions
Jean-baptiste Casteras, Juraj Földes, Itamar Oliveira +1
In this paper, we study the local well-posedness of the cubic Schrödinger equation …
math.CA2024
A phase-space approach to weighted Fourier extension inequalities
Jonathan Bennett, Susana Gutierrez, Shohei Nakamura +1
The purpose of this paper is to expose and investigate natural phase-space formulations of two longstanding problems in the restriction theory of the Fourier transform. These probl…