Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions
- Author(s)
- Piotr T. Chrusciel, Roger Tagne Wafo
- Abstract
We prove propagation of weighted Sobolev regularity for solutions of the hyperboloidal Cauchy problem for a class of quasi-linear symmetric hyperbolic systems, under structure conditions compatible with the Einstein-Maxwell equations in space-time dimensions n + 1 >= 7. Similarly we prove propagation of polyhomogeneity in dimensions n + 1 >= 9. As a byproduct we obtain, in those last dimensions, polyhomogeneity at null infinity of small data solutions of vacuum Einstein, or Einstein-Maxwell equations evolving out of initial data which are stationary outside of a ball.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- University of Douala
- Journal
- Journal of Hyperbolic Differential Equations
- Volume
- 8
- Pages
- 269-346
- No. of pages
- 78
- ISSN
- 0219-8916
- DOI
- https://doi.org/10.1142/S0219891611002445
- Publication date
- 2011
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103028 Theory of relativity, 103019 Mathematical physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/819f9c5c-e07a-4831-84e2-e8d959068085