Scattering in H-1 for the intercritical NLS with an inverse-square potential
Scattering in H-1 for the intercritical NLS with an inverse-square potential
复制标题
具有平方反比势的临界间 NLS 的 H-1 散射
DOI：
10.1016/j.jde.2017.11.0150022
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发表时间：
2018
影响因子：
2.4
通讯作者：
Murphy Jason
中科院分区：
文献类型：
--
作者：
Lu Jing;Miao Changxing;Murphy Jason
We study the nonlinear Schrödinger equation with an inverse-square potential in dimensions 3≤ d≤ 6. We consider both focusing and defocusing nonlinearities in the mass-supercritical and energy-subcritical regime. In the focusing case, we prove a scattering/blowup dichotomy below the ground state. In the defocusing case, we prove scattering in H 1 for arbitrary data.
