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The energy-critical NLS with inverse-square potential

Published 18 Sep 2015 in math.AP | (1509.05822v1)

Abstract: We consider the defocusing energy-critical nonlinear Schr\"odinger equation with inverse-square potential $iu_t = -\Delta u + a|x|{-2}u + |u|4u$ in three space dimensions. We prove global well-posedness and scattering for $a>-\frac14 +\frac1{25}$. We also carry out the variational analysis needed to treat the focusing case.

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Authors (5)

  1. R. Killip 
  2. C. Miao 
  3. M. Visan 
  4. J. Zhang 
  5. J. Zheng 

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