Work

Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates

Year: 2007

Type: article

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.

Source: Classical and Quantum Gravity

DOI: 10.1088/0264-9381/24/23/017

Authors: H-O Kreiss, O Reula, O Sarbach, J Winicour