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.
Trotter, Jr., Extremal problems in discrete geometry , Combinatorica 3 (1983), no
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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.