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A Note on Wave Equation in Einstein & de Sitter Spacetime
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"... We consider the wave propagating in the the Einstein & de Sitter spacetime. The covariant d’Alambert’s operator in the Einstein & de Sitter spacetime belongs to the family of the nonFuchsian partial differential operators. We introduce the initial value problem for this equation and give th ..."
Abstract

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We consider the wave propagating in the the Einstein & de Sitter spacetime. The covariant d’Alambert’s operator in the Einstein & de Sitter spacetime belongs to the family of the nonFuchsian partial differential operators. We introduce the initial value problem for this equation and give the explicit representation formulas for the solutions. We also show the L p − L q estimates for solutions.