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Scattering in $H^1$ for the intercritical NLS with an inverse-square potential

Published 14 Feb 2017 in math.AP | (1702.04064v1)

Abstract: We study the nonlinear Schr\"odinger equation with an inverse-square potential in dimensions $3\leq d \leq 6$. 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.

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Authors (3)

  1. Jing Lu 
  2. Changxing Miao 
  3. Jason Murphy 

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