@article{22031,
  abstract     = {We analyze the blowup behaviour of solutions to the focusing nonlinear Klein–Gordon equation in spatial dimensions d>=2. We obtain upper bounds on the blowup rate, both globally in space and in light cones. The results are sharp in the conformal and sub-conformal cases. The argument relies on Lyapunov functionals derived from the dilation identity. We also prove that the critical Sobolev norm diverges near the blowup time.},
  author       = {Killip, Rowan and Stovall, Betsy and Visan, Monica},
  issn         = {1432-1807},
  journal      = {Mathematische Annalen},
  number       = {1-2},
  pages        = {289--350},
  publisher    = {Springer Nature},
  title        = {{Blowup behaviour for the nonlinear Klein-Gordon equation}},
  doi          = {10.1007/s00208-013-0960-z},
  volume       = {358},
  year         = {2014},
}