Global well-posedness for the derivative nonlinear Schrödinger equation in $L^{2}(\R)$

Benjamin Harrop-Griffiths; Rowan Killip; Maria Ntekoume; Monica Vişan

doi:10.4171/jems/1490

JournalsjemsVol. 28, No. 2pp. 843–924

Global well-posedness for the derivative nonlinear Schrödinger equation in $L^{2} (R)$

Benjamin Harrop-Griffiths
Georgetown University, Washington, USA
- MR
- ORCID
Rowan Killip
University of California, Los Angeles, USA
- MR
- ORCID
Maria Ntekoume
Concordia University, Montreal, Canada
- MR
- ORCID
Monica Vişan
University of California, Los Angeles, USA
- MR
- ORCID

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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 $L^{2} (R)$ , 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 $L^{2} (R)$ . J. Eur. Math. Soc. 28 (2026), no. 2, pp. 843–924

DOI 10.4171/JEMS/1490