Global well-posedness on the derivative nonlinear Schrödinger equation

Yifei Wu

Type: Article

Publication Date: 2015-07-28

Citations: 72

DOI: https://doi.org/10.2140/apde.2015.8.1101

Abstract

As a continuation of the previous work \cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schr\"odinger equation. We prove that it is globally well-posed in energy space, provided that the initial data $u_0\in H^1(\mathbb{R})$ with $\|u_0\|_{L^2}< 2\sqrt{\pi}$.

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