Well-posed initial-boundary value problem for the harmonic Einstein equations 
using energy estimates

Kreiss, H.-O.; Reula, O.; Sarbach, Olivier; Winicour, J.

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Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates

MPS-Authors

Kreiss, H.-O.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour, J.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0707.4188v2.pdf
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cqg7_23_017.pdf
(Publisher version), 141KB

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Kreiss, H.-O., Reula, O., Sarbach, O., & Winicour, J. (2007). Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates. Classical and Quantum Gravity, 24(23), 5973-5984. Retrieved from http://www.iop.org/EJ/abstract/0264-9381/24/23/017.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4A24-9

Abstract

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.