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 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0264-9381 1361-6382 1361-6382 |
DOI: | 10.1088/0264-9381/24/23/017 |