English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Rough solutions of Einstein vacuum equations in CMCSH gauge

MPS-Authors
/persons/resource/persons41531

Wang,  Qian
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1201.0049.pdf
(Preprint), 969KB

CMP328_1275.pdf
(Any fulltext), 769KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Wang, Q. (2014). Rough solutions of Einstein vacuum equations in CMCSH gauge. Communications in Mathematical Physics, 328(3), 1275-1340. doi:10.1007/s00220-014-2015-z.


Cite as: https://hdl.handle.net/11858/00-001M-0000-001A-0DE9-3
Abstract
In this paper, 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 $\bg$, we manage to implement the commuting vector field approach to prove Strichartz estimate for geometric wave equation $\Box_\bg \phi=0$ directly.