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

Benoit Pausader; Nikolay Tzvetkov; Xuecheng Wang

arxiv: 1210.3842 · v2 · pith:34LPIX5Lnew · submitted 2012-10-14 · 🧮 math.AP

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

Benoit Pausader , Nikolay Tzvetkov , Xuecheng Wang This is my paper

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keywords mathbbenergy-criticalglobalnonlinearadaptedboundsequationestablish

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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.

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

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