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

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arxiv 2505.09077 v1 pith:E6DF2OVR submitted 2025-05-14 math.AP

Makoto Nakamura , Takuma Yoshizumi This is my paper · ORCID
classification math.AP
keywords equationssemi-linearklein-gordonspacetimesflrwapplyingblow-upblowing-up
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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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Cited by 1 Pith paper

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  1. Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes

    gr-qc 2025-05 conditional novelty 6.0 of 10

    A twisted vector-field method yields energy boundedness, local energy decay, r^p-weighted estimates, and energy and pointwise decay for waves on all spatially flat decelerated FLRW backgrounds with scale factor t^q, 0<q<1.

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