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arXiv:0710.2007 [math-ph]AbstractReferencesReviewsResources

The wave equation on singular space-times

James D. E. Grant, Eberhard Mayerhofer, Roland Steinbauer

Published 2007-10-10, updated 2008-02-19Version 2

We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.

Comments: Latex, 19 pages, 1 figure. Discussion of class of metrics covered by our results and some examples added. Conclusion more detailed. Version to appear in Communications in Mathematical Physics
Journal: Commun. Math. Phys. 285, 399-420 (2009)
Categories: math-ph, gr-qc, math.AP, math.MP
Subjects: 83C75, 46F30, 35D05, 35Q75
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