Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces Haque, Saikatul Killip, Rowan Visan, Monica Zhang, Yunfeng We establish global well-posedness for both the defocusing and focusing complex-valued modified Korteweg–de Vries equations on the real line in modulation spaces Ms,2p (R), for all 1 p < 1 and 0 s < 3/2 − 1/p. We will also show that such solutions admit global-in-time bounds in these spaces and that equicontinuous sets of initial data lead to equicontinuous ensembles of orbits. Indeed, such information forms a crucial part of our well-posedness argument. Mathematical Sciences Publishers 2025 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22021 Haque S, Killip R, Vişan M, Zhang Y. Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces. <i>Pure and Applied Analysis</i>. 2025;7(3):615-637. doi:<a href="https://doi.org/10.2140/paa.2025.7.615">10.2140/paa.2025.7.615</a> eng info:eu-repo/semantics/altIdentifier/doi/10.2140/paa.2025.7.615 info:eu-repo/semantics/altIdentifier/issn/2578-5893 info:eu-repo/semantics/altIdentifier/e-issn/2578-5885 info:eu-repo/semantics/altIdentifier/arxiv/2411.05300 info:eu-repo/semantics/openAccess