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

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
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Sprache:eng
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Exact sciences and technology
Fysik
General relativity and gravitation
NATURAL SCIENCES
NATURVETENSKAP
Physics
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container_issue 23
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container_title Classical and quantum gravity
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creator Kreiss, H-O
Reula, O
Sarbach, O
Winicour, J
description 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.
doi_str_mv 10.1088/0264-9381/24/23/017
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subjects Exact sciences and technology
Fysik
General relativity and gravitation
NATURAL SCIENCES
NATURVETENSKAP
Physics
title Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
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