2024
DOI: 10.1007/s00028-024-01016-y
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Well-posedness for the NLS hierarchy

Joseph Adams

Abstract: 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 modulation spaces. We show the jth equation in the hierarchy is locally well-posed for initial data in $${{\hat{H}}}^s_r({\mathbb {R}})$$ H ^ … Show more

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