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The Wave Equation on Singular Space-Times

The Wave Equation on Singular Space-Times

JournalCommunications in Mathematical Physics
PublisherSpringer Berlin / Heidelberg
ISSN0010-3616 (Print) 1432-0916 (Online)
IssueVolume 285, Number 2 / January, 2009
DOI10.1007/s00220-008-0549-7
Pages399-420
Subject CollectionPhysics and Astronomy
SpringerLink DateSaturday, July 05, 2008
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The Wave Equation on Singular Space-Times

James D.E. Grant1 Contact Information, Eberhard Mayerhofer1 and Roland Steinbauer1

(1)  Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Vienna, Austria

Received: 11 October 2007  Accepted: 15 February 2008  Published online: 5 July 2008

Communicated by G.W. Gibbons
Abstract  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.

Contact Information James D.E. Grant
Email: james.grant@univie.ac.at
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  1. Steinbauer, R (2009) On the Geroch–Traschen class of metrics. Classical and Quantum Gravity 26(6)
    [CrossRef]
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