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Microlocal Analysis for Waves Propagating in Einstein & de Sitter Spacetime

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Abstract

We consider the waves propagating in the Einstein & de Sitter spacetime, which obey the covariant d’Alembert’s equation. That equation has singular coefficients and belongs to the family of the non-Fuchsian partial differential operators. We introduce the initial value problem for this equation and give the parametrices in the terms of Fourier integral operators. We also discuss the propagation and reflection of the singularities phenomena.

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  1. Department of Mathematics, University of Texas-Pan American, 1201 W. University Drive, Edinburg, TX, 78541-2999, USA

    Anahit Galstian & Karen Yagdjian

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  1. Anahit Galstian
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  2. Karen Yagdjian
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Correspondence to Anahit Galstian.

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Galstian, A., Yagdjian, K. Microlocal Analysis for Waves Propagating in Einstein & de Sitter Spacetime. Math Phys Anal Geom 17, 223–246 (2014). https://doi.org/10.1007/s11040-014-9151-8

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  • DOI: https://doi.org/10.1007/s11040-014-9151-8

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