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arXiv · 2204.12548

Global well-posedness for the derivative nonlinear Schr\"odinger equation in $L^2(\mathbb{R})$

Benjamin Harrop-Griffiths·Rowan Killip·Maria Ntekoume·Monica Visan
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Abstract

We prove that the derivative nonlinear Schr\"odinger equation in one space dimension is globally well-posed on the line in $L^2(\mathbb{R})$, which is the scaling-critical space for this equation.

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Benjamin Harrop-Griffiths, Rowan Killip, Maria Ntekoume, Monica Visan. 2022-04-26. Global well-posedness for the derivative nonlinear Schr\"odinger equation in $L^2(\mathbb{R})$. https://arxiv.org/abs/2204.12548

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