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SUMMARY:Unique continuation from infinity for linear waves - Dr. Chung-Tse
  Arick Shao\, Imperial College
DTSTART:20141020T140000Z
DTEND:20141020T150000Z
UID:TALK55242@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:We prove various unique continuation results from infinity for
  linear\nwaves on asymptotically flat space-times. Assuming vanishing of t
 he\nsolution to infinite order on suitable parts of future and past null\n
 infinities\, we derive that the solution must vanish in an open set in\nth
 e interior. The parts of infinity where we must impose a vanishing\ncondit
 ion depend strongly on the background geometry\; in particular\, for\nback
 grounds with positive mass (such as Schwarzschild or Kerr)\, the\nrequired
  assumptions are much weaker than in Minkowski spacetime. These\nresults r
 ely on a new family of geometrically robust Carleman estimates\nnear null 
 cones and on an adaptation of the standard conformal inversion\nof Minkows
 ki spacetime. Also\, the results are nearly optimal in many\nrespects.\n\n
 This is joint work with Spyros Alexakis and Volker Schlue.\n
LOCATION:CMS\, MR13
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