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

Preprint English OPEN
Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng;
  • Subject: Mathematics - Analysis of PDEs
    arxiv: Mathematics::Spectral Theory | Mathematics::Analysis of PDEs

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 b... View more
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