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arXiv · 1210.3842

Global regularity for the energy-critical NLS on $\mathbb{S}^3$

Benoit Pausader·Nikolay Tzvetkov·Xuecheng Wang
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Abstract

We establish global existence for the energy-critical nonlinear Schrödinger 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.

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Benoit Pausader, Nikolay Tzvetkov, Xuecheng Wang. 2013-04-17. Global regularity for the energy-critical NLS on $\mathbb{S}^3$. https://arxiv.org/abs/1210.3842

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