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arXiv · 2106.06993

Scattering threshold for radial defocusing-focusing mass-energy double critical nonlinear Schr\"odinger equation in $d\geq 5$

Yongming Luo
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Abstract

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

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Yongming Luo. 2021-06-13. Scattering threshold for radial defocusing-focusing mass-energy double critical nonlinear Schr\"odinger equation in $d\geq 5$. https://arxiv.org/abs/2106.06993

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