2 papers
math.AP2026
Regularity of fractional Schrödinger equations and sub-Laplacian multipliers on the Heisenberg group
Aksel Bergfeldt
We define functions of the sub-Laplacian on the Heisenberg group as Fourier multipliers. In this setting, we show that the solution of the free fractional Sch…
math.AP2023
Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs
Aksel Bergfeldt, Salvador Rodriguez-Lopez, David Rule +1
We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banac…