Nonexistence results for the semilinear wave equation on graphs
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915346892455936 |
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| author | Monticelli, Dario Daniele Punzo, Fabio Somaglia, Jacopo |
| author_facet | Monticelli, Dario Daniele Punzo, Fabio Somaglia, Jacopo |
| contents | We investigate the semilinear wave equation with potential on weighted graphs. We establish sufficient conditions for the nonexistence of global-in-time solutions. Both nonnegative and sign-changing solutions are considered. In particular, the proof for sign-changing solutions relies on a novel technique for this type of result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08697 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonexistence results for the semilinear wave equation on graphs Monticelli, Dario Daniele Punzo, Fabio Somaglia, Jacopo Analysis of PDEs We investigate the semilinear wave equation with potential on weighted graphs. We establish sufficient conditions for the nonexistence of global-in-time solutions. Both nonnegative and sign-changing solutions are considered. In particular, the proof for sign-changing solutions relies on a novel technique for this type of result. |
| title | Nonexistence results for the semilinear wave equation on graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.08697 |