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

2024/11/05 by Makoto Nakamura, Nakamura, Makoto, Yoshizumi, Takuma · 1 citation
Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Stochastic processes and financial applications #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2411.02872

openalex publication_date 2024/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaître-Robertson-Walker spacetimes

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