#### Vol. 8, No. 5, 2015

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Global well-posedness on the derivative nonlinear Schrödinger equation

### Yifei Wu

Vol. 8 (2015), No. 5, 1101–1112
##### Abstract

As a continuation of our previous work, we consider the global well-posedness for the derivative nonlinear Schrödinger equation. We prove that it is globally well posed in the energy space, provided that the initial data ${u}_{0}\in {H}^{1}\left(ℝ\right)$ with $\parallel {u}_{0}{\parallel }_{{L}^{2}}<2\sqrt{\pi }$.

##### Keywords
nonlinear Schrödinger equation with derivative, global well-posedness, energy space
Primary: 35Q55
Secondary: 35A01
##### Milestones
Received: 14 September 2014
Revised: 4 February 2015
Accepted: 6 March 2015
Published: 28 July 2015
##### Authors
 Yifei Wu Center for Applied Mathematics Tianjin University Tianjin 300072 China School of Mathematical Sciences Laboratory of Mathematics and Complex Systems Beijing Normal University Ministry of Education Beijing, 100875 China