@article{22038,
  abstract     = {We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in H^-1(R). Global well-posedness in L^2(R) was shown previously in [8] using the method of commuting flows. Since this method is insensitive to the ambient geometry, it cannot go beyond the sharp L^2 threshold for the torus demonstrated in [3]. To prove our result, we introduce a new strategy that integrates dispersive effects into the method of commuting flows.},
  author       = {Bringmann, Bjoern and Killip, Rowan and Visan, Monica},
  issn         = {2199-2576},
  journal      = {Annals of PDE},
  number       = {2},
  publisher    = {Springer Nature},
  title        = {{Global well-posedness for the fifth-order KdV equation in H^-1(R)}},
  doi          = {10.1007/s40818-021-00111-4},
  volume       = {7},
  year         = {2021},
}