Problems which are well-posed in the generalized sense with applications to the 
Einstein equations

Kreiss, H.-O.; Winicour, J.

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Problems which are well-posed in the generalized sense with applications to the Einstein equations

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Kreiss, H.-O.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour, J.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Kreiss, H.-O., & Winicour, J. (2006). Problems which are well-posed in the generalized sense with applications to the Einstein equations. Classical and Quantum Gravity, 23, S405-S420. Retrieved from http://www.iop.org/EJ/abstract/0264-9381/23/16/S07.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4C71-B

Abstract

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.