On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations

Author(s)
Aurore Cabet, Piotr T. Chrusciel, Roger Tagne Wafo
Abstract

We consider a characteristic initial value problem for a class of symmetric hyperbolic systems with initial data given on two smooth null intersecting characteristic surfaces. We prove existence of solutions on a future neighborhood of the initial surfaces. The result is applied to general semilinear wave equations, as well as the Einstein equations with or without sources, and conformal variations thereof.

Organisation(s)
Gravitational Physics
External organisation(s)
Université François-Rabelais, University of Douala
Journal
Dissertationes mathematicae
Volume
515
Pages
1-67
No. of pages
67
ISSN
0012-3862
DOI
https://doi.org/10.4064/dm732-7-2015
Publication date
2016
Peer reviewed
Yes
Austrian Fields of Science 2012
103028 Theory of relativity, 103019 Mathematical physics
Keywords
ASJC Scopus subject areas
Mathematics(all)
Portal url
https://ucrisportal.univie.ac.at/en/publications/on-the-characteristic-initial-value-problem-for-nonlinear-symmetric-hyperbolic-systems-including-einstein-equations(6b8fda46-324e-4b9d-bae2-b154b6456ca1).html