An Lp-theory for almost sure local well-posedness of the nonlinear Schrödinger equations

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Colleges, School and Institutes

External organisations

  • Heriot-Watt University
  • The Maxwell Institute for the Mathematical Sciences


We consider the nonlinear Schrödinger equations (NLS) on with random and rough initial data. By working in the framework of spaces, , we prove almost sure local well-posedness for rougher initial data than those considered in the existing literature. The main ingredient of the proof is the dispersive estimate.


Original languageEnglish
Pages (from-to)637-643
JournalComptes Rendus Mathematique
Issue number6
Early online date25 Apr 2018
Publication statusPublished - Jun 2018