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Rough solutions of Einstein vacuum equations in CMCSH gauge

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  • UserQian Wang (Oxford)
  • ClockMonday 19 November 2012, 15:00-16:00
  • HouseCMS, MR11.

If you have a question about this talk, please contact Prof. Mihalis Dafermos.

We consider very rough solutions to Cauchy problem for the Einstein vacuum equations in CMC spacial harmonic gauge, and obtain the local well-posedness result in H^s, s>2. The novelty of our approach lies in that, without resorting to the standard paradifferential regularization over the rough, Einstein metric g, we manage to implement the commuting vector field approach to prove Strichartz estimate for geometric wave equation directly.

This talk is part of the Partial Differential Equations seminar series.

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