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

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

2007-07-27

arxiv.org/abs/0707.4188v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

More explanatory material and title, as will appear in the published article in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/24/23/017

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.

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