On the energy-critical fractional Schödinger equation in the radial case

Zihua Guo; Yannick Sire; Yuzhao Wang; Lifeng Zhao

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arXiv · 1310.6816

On the energy-critical fractional Schödinger equation in the radial case

Zihua Guo·Yannick Sire·Yuzhao Wang·Lifeng Zhao

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Abstract

We consider the Cauchy problem for the energy-critical nonlinear Schrödinger equation with fractional Laplacian (fNLS) in the radial case. We obtain global well-posedness and scattering in the energy space in the defocusing case, and in the focusing case with energy below the ground state.

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Zihua Guo, Yannick Sire, Yuzhao Wang, Lifeng Zhao. 2013-10-25. On the energy-critical fractional Schödinger equation in the radial case. https://arxiv.org/abs/1310.6816

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