Scale invariant Strichartz estimates on tori and applications

  title={Scale invariant Strichartz estimates on tori and applications},
  author={R. Killip and M. Visan},
  journal={arXiv: Analysis of PDEs},
  • R. Killip, M. Visan
  • Published 2014
  • Mathematics
  • arXiv: Analysis of PDEs
  • We prove scale-invariant Strichartz inequalities for the Schrodinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a unified and simpler treatment of local well-posedness of the energy-critical nonlinear Schrodinger equation in dimensions three and four. 
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