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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 328169.0, MPI für Gravitationsphysik / Astrophysical Relativity
Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
Authors:Kreiss, H.-O.; Reula, O.; Sarbach, Olivier; Winicour, J.
Date of Publication (YYYY-MM-DD):2007
Title of Journal:Classical and Quantum Gravity
Volume:24
Issue / Number:23
Start Page:5973
End Page:5984
Review Status:not specified
Audience:Not Specified
Abstract / 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.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:LOCALID:arXiv:0707.4188
URL:http://www.iop.org/EJ/abstract/0264-9381/24/23/017
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