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DTSTAMP:20260504T155619Z
SUMMARY:Junior Analysis Seminar –  Alex Tullini (Münster)
DESCRIPTION:Title\nBoundedness and decay for the conformal wave equation in
  Schwarzschild-AdS under dissipative boundary conditions.\nAbstract\nWe st
 udy the conformal wave equation on the exterior of Schwarzschild–Anti-de
  Sitter\, subject to dissipative boundary conditions. We prove boundedness
  of the non-degenerate energy and an integrated local energy decay estimat
 e with one derivative loss\, from which we deduce energy decay at an arbit
 rarily fast inverse polynomial rate\, at the cost of controlling up to n t
 imes T-commuted energies. The proof combines a Morawetz estimate for the T
 -commuted equation and an elliptic estimate for the spatial derivatives. A
  key feature of the result is that the additional trapping at the photon s
 phere does not produce further derivative loss compared to the pure Anti-d
 e Sitter case. This contrasts with the inverse logarithmic decay rate obta
 ined under Dirichlet boundary conditions and supports the expectation that
  Schwarzschild-AdS is asymptotically stable under dissipative boundary con
 ditions.\nPlease note that the seminar will take place in person in room 1
 40 of Huxley Building.\n\nClick here to get to the Junior Analysis Seminar
  webpage.
URL:https://www.imperial.ac.uk/events/209039/junior-analysis-seminar-alex-t
 ullini-munster/
DTSTART;TZID=Europe/London:20260610T140000
DTEND;TZID=Europe/London:20260610T150000
LOCATION:140\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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