Global well-posedness for the derivative nonlinear Schrödinger equation in

  • Benjamin Harrop-Griffiths

    Georgetown University, Washington, USA
  • Rowan Killip

    University of California, Los Angeles, USA
  • Maria Ntekoume

    Concordia University, Montreal, QC, Canada
  • Monica Vişan

    University of California, Los Angeles, USA
Global well-posedness for the derivative nonlinear Schrödinger equation in $L^{2}(\R)$ cover

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Abstract

We prove that the derivative nonlinear Schrödinger equation in one space dimension is globally well-posed on the line in , which is the scaling-critical space for this equation.

Cite this article

Benjamin Harrop-Griffiths, Rowan Killip, Maria Ntekoume, Monica Vişan, Global well-posedness for the derivative nonlinear Schrödinger equation in . J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1490