Semilinear wave equations with time-dependent coefficients
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911421875355648 |
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| author | Antonić, Nenad Grbac, Matko |
| author_facet | Antonić, Nenad Grbac, Matko |
| contents | We prove the existence of strong and weak solutions to the semilinear wave equation with coefficients depending both on time and space variables, with continuous nonlinearity satisfying the sign condition. The uniqueness is proven under slightly more restrictive assumptions. Furthermore, the results obtained in abstract setting are illustrated on practical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04727 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semilinear wave equations with time-dependent coefficients Antonić, Nenad Grbac, Matko Analysis of PDEs 35L05, 35L20, 35L71 We prove the existence of strong and weak solutions to the semilinear wave equation with coefficients depending both on time and space variables, with continuous nonlinearity satisfying the sign condition. The uniqueness is proven under slightly more restrictive assumptions. Furthermore, the results obtained in abstract setting are illustrated on practical examples. |
| title | Semilinear wave equations with time-dependent coefficients |
| topic | Analysis of PDEs 35L05, 35L20, 35L71 |
| url | https://arxiv.org/abs/2602.04727 |