Microlocal analysis for hyperbolic equations 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. We construct the parametrixes in the terms of Fourier integral operators and discuss the propagation and reflection of the singularities phenomena.

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Galstian, A. (2015). Microlocal analysis for hyperbolic equations in Einstein-de Sitter spacetime. In Trends in Mathematics (Vol. 2, pp. 225–232). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_27

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