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arXiv · 2505.09077

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

Makoto Nakamura·Takuma Yoshizumi
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Abstract

Blowing-up solutions for semi-linear Klein-Gordon equations are considered in Friedmann-Lema\^itre-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.

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Makoto Nakamura, Takuma Yoshizumi. 2025-05-14. Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes. https://arxiv.org/abs/2505.09077

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