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SUMMARY:A sharp counterexample to local existence of low regularity soluti
 ons to Einstein's equations in wave coordinates - Hans Lindblad (Johns Hop
 kins)
DTSTART:20161205T150000Z
DTEND:20161205T160000Z
UID:TALK67464@talks.cam.ac.uk
CONTACT:Prof. Mihalis Dafermos
DESCRIPTION:We give a sharp counter example to local existence of low regu
 larity solutions to Einstein's equations in wave coordinates. We show that
  there are initial data in H2 satisfying the wave coordinate condition suc
 h that there is no solution in H2 to Einstein's equations in wave coordina
 tes for any positive time. This result is sharp since Klainerman–Rodnian
 ski and Smith–Tataru proved existence for the same equations with slight
 ly more regular initial data.\n\nThis is joint work with Boris Ettinger.
LOCATION:CMS\, MR12
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