#### 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