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://ucris.univie.ac.at/portal/en/publications/on-the-characteristic-initial-value-problem-for-nonlinear-symmetric-hyperbolic-systems-including-einstein-equations(6b8fda46-324e-4b9d-bae2-b154b6456ca1).html