H-O Kreiss et al 2007 Class. Quantum Grav. 24 5973 doi:10.1088/0264-9381/24/23/017
H-O Kreiss1,2, O Reula3, O Sarbach4 and J Winicour2,5
Show affiliationsIn 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.
04.20.Ex Initial value problem, existence and uniqueness of solutions
35J25 Boundary value problems for second-order, elliptic equations
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 23 (7 December 2007)
Received 27 July 2007, in final form 15 October 2007
Published 21 November 2007
H-O Kreiss et al 2007 Class. Quantum Grav. 24 5973
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