@article{22021,
  abstract     = {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.},
  author       = {Haque, Saikatul and Killip, Rowan and Visan, Monica and Zhang, Yunfeng},
  issn         = {2578-5885},
  journal      = {Pure and Applied Analysis},
  number       = {3},
  pages        = {615--637},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{ Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces}},
  doi          = {10.2140/paa.2025.7.615},
  volume       = {7},
  year         = {2025},
}