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arXiv · 1606.07566

Global well-posedness for the derivative nonlinear Schr\"{o}dinger equation in $H^{\frac 12} (\mathbb{R})$

Zihua Guo·Yifei Wu
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Abstract

We prove that the derivative nonlinear Schr\"{o}dinger equation is globally well-posed in $H^{\frac 12} (\mathbb{R})$ when the mass of initial data is strictly less than $4\pi$.

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Zihua Guo, Yifei Wu. 2016-06-24. Global well-posedness for the derivative nonlinear Schr\"{o}dinger equation in $H^{\frac 12} (\mathbb{R})$. https://arxiv.org/abs/1606.07566

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