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Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes
Published 16 Jan 2014 in math.AP, math-ph, and math.MP | (1401.3822v3)
Abstract: We consider waves, which obey the semilinear Klein-Gordon equation, propagating in the Friedmann-Lemaitre-Robertson-Walker spacetimes. The equations in the de Sitter and Einstein-de Sitter spacetimes are the important particular cases. We show the global in time existence in the energy class of solutions of the Cauchy problem.
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