| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898944 | Journal of Differential Equations | 2018 | 38 Pages |
Abstract
We study the nonlinear Schrödinger equation with an inverse-square potential in dimensions 3â¤dâ¤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 H1 for arbitrary data.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jing Lu, Changxing Miao, Jason Murphy,