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

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4C71-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4C72-9
Genre: Journal Article

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Kreiss, H.-O.1, Author
Winicour, J.1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 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.

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 Dates: 2006
 Publication Status: Issued
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 Identifiers: eDoc: 293646
URI: http://www.iop.org/EJ/abstract/0264-9381/23/16/S07
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 23 Sequence Number: - Start / End Page: S405 - S420 Identifier: -