Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
General Relativity and Quantum Cosmology
2009-11-13 v2
Abstract
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary value problem for second order systems of wave equations be strongly well-posed in a generalized sense. The applications included the harmonic version of the Einstein equations. Here we show that these results can also be obtained via standard energy estimates, thus establishing strong well-posedness of the harmonic Einstein problem in the classical sense.
Cite
@article{arxiv.0707.4188,
title = {Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates},
author = {H. -O. Kreiss and O. Reula and O. Sarbach and J. Winicour},
journal= {arXiv preprint arXiv:0707.4188},
year = {2009}
}
Comments
More explanatory material and title, as will appear in the published article in Classical and Quantum Gravity