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

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 the...

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Veröffentlicht in:Classical and quantum gravity 2007-12, Vol.24 (23), p.5973-5984
Hauptverfasser: Kreiss, H-O, Reula, O, Sarbach, O, Winicour, J
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0264-9381
1361-6382
1361-6382
DOI:10.1088/0264-9381/24/23/017