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math.AP2025
Well-posedness for the dNLS hierarchy
Joseph Adams
We prove well-posedness for higher-order equations in the so-called dNLS hierarchy (also known as part of the Kaup-Newell hierarchy) in almost critical Fourier-Lebesgue and in modu…
math.AP2024
Well-posedness for the NLS hierarchy
Joseph Adams
We prove well-posedness for higher-order equations in the so-called NLS hierarchy (also known as part of the AKNS hierarchy) in almost critical Fourier-Lebesgue spaces and in modul…