Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917389997703168 |
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| author | Chen, Wenhui Palmieri, Alessandro |
| author_facet | Chen, Wenhui Palmieri, Alessandro |
| contents | In this paper, we investigate the blow-up in finite time and the corresponding lifespan estimates for a weakly coupled system of wave equations on a compact Lie group. In particular, we show how the Cauchy data and the presence of lower order terms affect the lifespan of local in-time solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group Chen, Wenhui Palmieri, Alessandro Analysis of PDEs In this paper, we investigate the blow-up in finite time and the corresponding lifespan estimates for a weakly coupled system of wave equations on a compact Lie group. In particular, we show how the Cauchy data and the presence of lower order terms affect the lifespan of local in-time solutions. |
| title | Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.06626 |