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arXiv · 1404.5159

Global well-posedness on the derivative nonlinear Schrödinger equation revisited

Yifei Wu
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Abstract

As a continuation of the previous work \cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schrödinger 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 $\|u_0\|_{L^2}< 2\sqrtπ$.

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Yifei Wu. 2014-07-02. Global well-posedness on the derivative nonlinear Schrödinger equation revisited. https://doi.org/10.2140/apde.2015.8.1101

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