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The Wave Equation on Singular Space-Times

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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.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090, Vienna, Austria

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

Authors
  1. James D.E. Grant
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  2. Eberhard Mayerhofer
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  3. Roland Steinbauer
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Correspondence to James D.E. Grant.

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Communicated by G.W. Gibbons

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Grant, J.D., Mayerhofer, E. & Steinbauer, R. The Wave Equation on Singular Space-Times. Commun. Math. Phys. 285, 399–420 (2009). https://doi.org/10.1007/s00220-008-0549-7

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  • DOI: https://doi.org/10.1007/s00220-008-0549-7

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