Global well-posedness of mass-critical cubic NLS on T² is proved for arbitrary defocusing data and sub-ground-state focusing data via a new inverse Strichartz inequality from additive combinatorics.
Kenig and Frank Merle, Global well-posedness, scattering and blow-up for the energ y-critical, focusing, non-linear Schrödinger equation in the radial ca se, Invent
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Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$
Global well-posedness of mass-critical cubic NLS on T² is proved for arbitrary defocusing data and sub-ground-state focusing data via a new inverse Strichartz inequality from additive combinatorics.