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math.AP2022★ 1 cited
Physical-space estimates for axisymmetric waves on extremal Kerr spacetime
Elena Giorgi, Jingbo Wan
We study axisymmetric solutions to the wave equation on extremal Kerr backgrounds and obtain integrated local energy decay (or Morawetz estimates) through an analysis \textit{exclu…
math.AP2022★ 11 cited
Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes
Elena Giorgi, Sergiu Klainerman, Jeremie Szeftel
This is the last part of our proof of the nonlinear stability of the Kerr family for small angular momentum, i.e , in which we deal with the nonlinear wave type estimat…