Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation

J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao

Research output: Contribution to journalArticlepeer-review

118 Scopus citations

Abstract

We prove an "almost conservation law" to obtain global-in-time well-posedness for the cubic, defocussing nonlinear Schrödinger equation in HS(ℝn) when n = 2, 3 and s > 4/7, 5/6, respectively.

Original languageEnglish (US)
Pages (from-to)659-682
Number of pages24
JournalMathematical Research Letters
Volume9
Issue number5-6
DOIs
StatePublished - 2002

Keywords

  • Nonlinear Schrödinger equation
  • Well-posedness

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