Large-data equicontinuity for the derivative NLS Harrop-Griffiths, Benjamin Killip, Rowan Visan, Monica We consider the derivative nonlinear Schrödinger 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 also under the entire hierarchy. This allows us to remove the small-data restriction from prior conservation laws and global well-posedness results. Oxford University Press 2023 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22072 Harrop-Griffiths B, Killip R, Vişan M. Large-data equicontinuity for the derivative NLS. <i>International Mathematics Research Notices</i>. 2023;2023(6):4601-4642. doi:<a href="https://doi.org/10.1093/imrn/rnab374">10.1093/imrn/rnab374</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rnab374 info:eu-repo/semantics/altIdentifier/issn/1073-7928 info:eu-repo/semantics/altIdentifier/e-issn/1687-0247 info:eu-repo/semantics/altIdentifier/arxiv/2106.13333 info:eu-repo/semantics/openAccess