Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

2025/05/14 by Makoto Nakamura, Nakamura, Makoto, Takuma Yoshizumi +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2505.09077

openalex publication_date 2025/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Blowing-up solutions for semi-linear Klein-Gordon equations are considered in Friedmann-Lemaître-Robertson-Walker spacetimes. Some sufficient conditions are shown by applying the concavity method for semi-linear wave equations in the Minkowski spacetime to semi-linear Klein-Gordon equations in FLRW spacetimes.

Cited by

• Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes

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