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A large data critical problem

  • Herbert Koch
  • Daniel Tataru
  • Monica Vişan
Chapter
Part of the Oberwolfach Seminars book series (OWS, volume 45)

Abstract

Throughout the remainder of these notes we restrict attention to the defocusing energy-critical NLS
$$ i\partial _t u\, + \,\Delta u\, = \,\,\left| u \right|^{\frac{4} {{d - 2}}} u\,\,\,\,{\rm with}\,\,\,\,u\left( 0 \right)\, = \,u_0 \, \in \,\dot H_x^1 . $$
For arguments and further references in the focusing case, see [22].

Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Herbert Koch
    • 1
  • Daniel Tataru
    • 2
  • Monica Vişan
    • 3
  1. 1.Institute of MathematicsUniversity of BonnBonnGermany
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  3. 3.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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