On the energy-critical fractional Sch\"odinger equation in the radial case

Lifeng Zhao; Yannick Sire; Yuzhao Wang; Zihua Guo

arxiv: 1310.6816 · v1 · pith:P43BLMMAnew · submitted 2013-10-25 · 🧮 math.AP

On the energy-critical fractional Sch\"odinger equation in the radial case

Zihua Guo , Yannick Sire , Yuzhao Wang , Lifeng Zhao This is my paper

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keywords caseenergyenergy-criticalequationfractionalodingerradialbelow

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We consider the Cauchy problem for the energy-critical nonlinear Schr\"odinger 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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On the energy-critical fractional Sch\"odinger equation in the radial case

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