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

The Cauchy problem for semi-linear Klein-Gordon equations is considered in Friedmann-Lemaître-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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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Nakamura, Makoto, Yoshizumi, Takuma
Format: Article
Language:English
Subjects:
Cauchy problems
Sobolev space
Online Access:Get full text
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Summary:The Cauchy problem for semi-linear Klein-Gordon equations is considered in Friedmann-Lemaître-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.
ISSN:2331-8422