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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 293646.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Problems which are well-posed in the generalized sense with applications to the Einstein equations
Authors:Kreiss, H.-O.; Winicour, J.
Date of Publication (YYYY-MM-DD):2006
Title of Journal:Classical and Quantum Gravity
Volume:23
Start Page:S405
End Page:S420
Review Status:not specified
Audience:Not Specified
Abstract / Description:In the harmonic description of general relativity, the principle part of Einstein equations reduces to a constrained system of 10 curved space wave equations for the components of the space-time metric. We use the pseudo-differential theory of systems which are well-posed in the generalized sense to establish the well-posedness of constraint preserving boundary conditions for this system when treated in second order differential form. The boundary conditions are of a generalized Sommerfeld type that is benevolent for numerical calculation.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:URL:http://www.iop.org/EJ/abstract/0264-9381/23/16/S07
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