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Scattering threshold for radial defocusing-focusing mass-energy double critical nonlinear Schrodinger equation in $dgeq 5$

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 Added by Yongming Luo
 Publication date 2021
  fields
and research's language is English
 Authors Yongming Luo




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We extend the scattering result for the radial defocusing-focusing mass-energy double critical nonlinear Schrodinger equation in $dleq 4$ given by Cheng et al. to the case $dgeq 5$. The main ingredient is a suitable long time perturbation theory which is applicable for $dgeq 5$. The paper will therefore give a full characterization on the scattering threshold for the radial defocusing-focusing mass-energy double critical nonlinear Schrodinger equation in all dimensions $dgeq 3$.



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