The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lema\itre-Robertson-Walker spacetimes
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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