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.
Colliander, Markus Keel, Gigliola Staffilani, Hi deo Takaoka, and Terence Tao, Transfer of energy to high frequencies in the cubic defocusing nonlinea r Schrödinger equation , Invent
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.