BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Elena Giorgi (Columbia University)
DTSTART:20221201T143000Z
DTEND:20221201T153000Z
DTSTAMP:20260423T023021Z
UID:jomarec/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/22/"
 >Physical-space estimates on black hole perturbations</a>\nby Elena Giorgi
  (Columbia University) as part of JoMaReC - Joint Online Mathematical Rela
 tivity Colloquium\n\n\nAbstract\nMost works on the analysis of the wave eq
 uation on Kerr black holes rely on a combination of the vector field metho
 d and Fourier decomposition\, with the notable exception of a generalized 
 vector field method introduced by Andersson-Blue. Their method allows for 
 commutation with second order differential operators entirely in physical-
 space by supplementing the Killing vector fields with the Carter operator 
 of Kerr to obtain a local energy decay identity at the level of three deri
 vatives of the solution for sufficiently small |a|. I this talk I will des
 cribe the main ideas of Andersson-Blue's method and explain its advantages
  in two recent applications where physical space-estimates have been cruci
 al: the linear stability of Kerr-Newman black hole to coupled gravitationa
 l-electromagnetic perturbations and our proof of the non-linear stability 
 of the slowly rotating Kerr family with Klainerman-Szeftel.\n
LOCATION:https://researchseminars.org/talk/jomarec/22/
END:VEVENT
END:VCALENDAR