On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations
General Relativity and Quantum Cosmology
2016-03-29 v2 Analysis of PDEs
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 general result is applied to general semilinear wave equations, as well as the Einstein equations with or without sources, and conformal variations thereof.
Keywords
Cite
@article{arxiv.1406.3009,
title = {On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations},
author = {Aurore Cabet and Piotr T. Chruściel and Roger Tagne Wafo},
journal= {arXiv preprint arXiv:1406.3009},
year = {2016}
}
Comments
85 pages, 11 figures