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math.AP2026
Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D
Ioan Bejenaru, Vitor Borges, Tiklung Chan
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 adapte…
math.AP2026
Scattering for the Klein-Gordon-Schrödinger system in three dimensions with radial data
Vitor Borges, Tiklung Chan
We prove global well-posedness and scattering for the 3D Klein-Gordon-Schrödinger system for small radial data in the best known global well-posedness range $(u_0, n_0, n_1)\in L^2…
math.AP2025
Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two dimensions
Ioan Bejenaru, Vitor Borges
We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two. To achieve this, we impose a no…