Well-posedness of non-autonomous transport equation on metric graphs
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914144535445504 |
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| author | Budde, Christian Fijavž, Marjeta Kramar |
| author_facet | Budde, Christian Fijavž, Marjeta Kramar |
| contents | We consider transport processes on metric graphs with time-dependent velocities and show that, under continuity assumption of the velocity coefficients, the corresponding non-autonomous abstract Cauchy problem is well-posed by means of evolution families and evolution semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_02540 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Well-posedness of non-autonomous transport equation on metric graphs Budde, Christian Fijavž, Marjeta Kramar Analysis of PDEs 37B55, 47D06, 35R02, 35F46 We consider transport processes on metric graphs with time-dependent velocities and show that, under continuity assumption of the velocity coefficients, the corresponding non-autonomous abstract Cauchy problem is well-posed by means of evolution families and evolution semigroups. |
| title | Well-posedness of non-autonomous transport equation on metric graphs |
| topic | Analysis of PDEs 37B55, 47D06, 35R02, 35F46 |
| url | https://arxiv.org/abs/2206.02540 |