Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions

Autor(en)

Piotr T. Chrusciel, Roger Tagne Wafo

Abstrakt

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(en)

Gravitationsphysik

Externe Organisation(en)

University of Douala

Journal

Journal of Hyperbolic Differential Equations

Band

8

Seiten

269-346

Anzahl der Seiten

78

ISSN

0219-8916

DOI

https://doi.org/10.1142/S0219891611002445

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/819f9c5c-e07a-4831-84e2-e8d959068085