Bounds on the speed of type II blow-up for the energy critical wave equation in the radial case

@article{Jendrej2015BoundsOT,
  title={Bounds on the speed of type II blow-up for the energy critical wave equation in the radial case},
  author={Jacek Jendrej},
  journal={arXiv: Analysis of PDEs},
  year={2015}
}
  • Jacek Jendrej
  • Published 10 September 2015
  • Mathematics
  • arXiv: Analysis of PDEs
We consider the focusing energy-critical wave equation in space dimension $N\in \{3, 4, 5\}$ for radial data. We study type II blow-up solutions which concentrate one bubble of energy. It is known that such solutions decompose in the energy space as a sum of the bubble and an asymptotic profile. We prove bounds on the blow-up speed in the case when the asymptotic profile is sufficiently regular. These bounds are optimal in dimension $N = 5$. We also prove that if the asymptotic profile is… Expand
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