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math.AP2026
Small-data theory for the intermediate NLS and the Calogero--Moser derivative NLS
Sonae Hadama
In this paper, we study a class of nonlinear Schrödinger equations (NLS) in a unified way. This class includes two important examples: the intermediate NLS (INLS) and the Calogero-…
math.AP2026
Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle
Sonae Hadama, Andrew Rout
In this paper, we introduce a renormalisation procedure for the density associated with the system of nonlinear Schrödinger equations (NLSS) on a circle. We show that this renormal…
math.AP2026
Well-posedness in for nonlocal NLS in the full subcritical range of symbol growth
Sonae Hadama
In this paper, we study a class of one-dimensional nonlocal nonlinear Schrödinger equations on the line with nonlinearity given by a Fourier multiplier whose symbol has subcritical…