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

article Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R) published yes Benjamin Harrop-Griffiths author Rowan Killip author Maria Ntekoume author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca 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. EMS Press2024 eng Journal of the European Mathematical Society 1435-9855 1435-9863 2204.1254810.4171/jems/1490 282843-924 yes B. Harrop-Griffiths, R. Killip, M. Ntekoume, and M. Vişan, “Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R),” Journal of the European Mathematical Society, vol. 28, no. 2. EMS Press, pp. 843–924, 2024. Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European Mathematical Society. 2024;28(2):843-924. doi:<a href="https://doi.org/10.4171/jems/1490">10.4171/jems/1490</a> Harrop-Griffiths, B., Killip, R., Ntekoume, M., & Vişan, M. (2024). Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European Mathematical Society. EMS Press. <a href="https://doi.org/10.4171/jems/1490">https://doi.org/10.4171/jems/1490</a> Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. 2024. Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European Mathematical Society. 28(2), 843–924. Harrop-Griffiths, Benjamin, et al. “Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation in L^2(R).” Journal of the European Mathematical Society, vol. 28, no. 2, EMS Press, 2024, pp. 843–924, doi:<a href="https://doi.org/10.4171/jems/1490">10.4171/jems/1490</a>. Harrop-Griffiths, Benjamin, Rowan Killip, Maria Ntekoume, and Monica Vişan. “Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation in L^2(R).” Journal of the European Mathematical Society. EMS Press, 2024. <a href="https://doi.org/10.4171/jems/1490">https://doi.org/10.4171/jems/1490</a>. B. Harrop-Griffiths, R. Killip, M. Ntekoume, M. Vişan, Journal of the European Mathematical Society 28 (2024) 843–924. 220622026-06-19T08:11:46Z2026-06-30T07:04:07Z