35 citations · 218 across the 27 of their papers we have counts for
31 papers
Brief introduction to the nonlinear stability of Kerr
Sergiu Klainerman, Jeremie Szeftel
This a brief introduction to the sequence of works \cite{KS:Kerr}, \cite{GKS-2022}, \cite{KS-GCM1}, \cite{KS-GCM2} and \cite{Shen} which establish the nonlinear stability of Kerr b…
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…
Kerr stability for small angular momentum
Sergiu Klainerman, Jeremie Szeftel
This is our main paper in a series in which we prove the full, unconditional, nonlinear stability of the Kerr family for small angular momentum, i.e. , in…
A general formalism for the stability of Kerr
Elena Giorgi, Sergiu Klainerman, Jérémie Szeftel
The goal of this paper is to provide a geometric framework for analyzing the uniform decay properties of solutions to the Teukolsky equation in the fully nonlinear setting of pertu…
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr
Sergiu Klainerman, Jeremie Szeftel
This is a follow-up of our paper \cite{KS-Kerr1} on the construction of general covariant modulated (GCM) spheres in perturbations of Kerr, which we expect to play a central role i…
On blow up for the energy super critical defocusing non linear Schrödinger equations
Frank Merle, Pierre Raphael, Igor Rodnianski +1
We consider the energy supercritical defocusing nonlinear Schrödinger equation in dimension . In a suitable range of energy supercritical par…