Fundamental solutions of the wave equation in Robertson-Walker spaces |
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| Authors: | Karen Yagdjian Anahit Galstian |
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| Institution: | Department of Mathematics, University of Texas-Pan American, 1201 W. University Drive, Edinburg, TX 78541-2999, USA |
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| Abstract: | In this article we construct the fundamental solutions for the wave equation in the Robertson-Walker spaces arising in the de Sitter model of the universe. We then use these fundamental solutions to represent solutions of the Cauchy problem for the equation with and without a source term. |
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| Keywords: | De Sitter spacetime Hyperbolic equations Fundamental solutions |
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