Journal article
Rough Solutions of Einstein Vacuum Equations in CMCSH Gauge
- Abstract:
- In this paper, we consider very rough solutions to the Cauchy problem for the Einstein vacuum equations in CMC spatial harmonic gauge, and obtain the local well-posedness result in H, 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 (Formula presented.) directly. © 2014 Springer-Verlag Berlin Heidelberg.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Publisher copy:
- 10.1007/s00220-014-2015-z
Authors
- Publisher:
- Springer
- Journal:
- Communications in Mathematical Physic More from this journal
- Volume:
- 328
- Issue:
- 3
- Pages:
- 1275-1340
- Publication date:
- 2014-03-25
- Acceptance date:
- 2014-01-20
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
- Keywords:
- Pubs id:
-
pubs:399337
- UUID:
-
uuid:f5f67ff7-6e32-45f3-ac63-9e9b7db4df27
- Local pid:
-
pubs:399337
- Source identifiers:
-
399337
- Deposit date:
-
2014-05-13
- ARK identifier:
Terms of use
- Copyright holder:
- Springer-Verlag
- Copyright date:
- 2014
- Notes:
- © Springer-Verlag Berlin Heidelberg 2014.
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