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arXiv:1401.3822 [math.AP]AbstractReferencesReviewsResources

Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes

Anahit Galstian, Karen Yagdjian

Published 2014-01-16, updated 2014-07-08Version 3

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.

Categories: math.AP, math-ph, math.MP
Subjects: 35L70, 35Q75, 35R01
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