Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912666313818112 |
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| author | Cianci, Federico Maso, Gianni Dal |
| author_facet | Cianci, Federico Maso, Gianni Dal |
| contents | We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of the solution with prescribed initial-boundary conditions, and its continuous dependence on the cracks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks Cianci, Federico Maso, Gianni Dal Analysis of PDEs We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of the solution with prescribed initial-boundary conditions, and its continuous dependence on the cracks. |
| title | Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.20583 |