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arxiv: 1606.07566 · v1 · pith:2YVLFRLCnew · submitted 2016-06-24 · 🧮 math.AP

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

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keywords derivativedingerequationfracmathbbnonlinearschrdata
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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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