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arXiv · 2106.13333

Large-data equicontinuity for the derivative NLS

Benjamin Harrop-Griffiths·Rowan Killip·Monica Visan
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Abstract

We consider the derivative NLS equation in one spatial dimension, which is known to be completely integrable. We prove that the orbits of $L^2$ bounded and equicontinuous sets of initial data remain bounded and equicontinuous, not only under this flow, but under the entire hierarchy. This allows us to remove the small-data restriction from prior conservation laws and global well-posedness results.

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Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan. 2021-06-24. Large-data equicontinuity for the derivative NLS. https://arxiv.org/abs/2106.13333

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