The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lemaître-Robertson-Walker spacetimes

Published 5 Nov 2024 in math-ph and math.MP | (2411.02872v1)

Abstract: The Cauchy problem for semi-linear Klein-Gordon equations is considered in Friedmann-Lema^itre-Robertson-Walker spacetimes. The local and global well-posedness of the Cauchy problem is considered in Sobolev spaces. The non-existence of global solutions is also considered.

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