Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913836541411328 |
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| author | Nakamura, Makoto Yoshizumi, Takuma |
| author_facet | Nakamura, Makoto Yoshizumi, Takuma |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09077 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Nakamura, Makoto Yoshizumi, Takuma Analysis of PDEs 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. |
| title | Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.09077 |