Benoit Pausader, Nikolay Tzvetkov, Xuecheng Wang
Published 2012-10-14, updated 2013-04-17Version 2
We establish global existence for the energy-critical nonlinear Schr\"odinger equation on $\mathbb{S}^3$. This follows similar lines to the work on $\mathbb{T}^3$ but requires new extinction results for linear solutions and bounds on the first nonlinear iterate at a Euclidean profile that are adapted to the new geometry.
Comments: to appear in the Annales IHP, Analyse non lineaire. arXiv admin note: text overlap with arXiv:1102.5771, arXiv:1101.4527
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