Extinction and propagation phenomena for semilinear parabolic equations on metric trees
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912379147649024 |
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| author | Punzo, Fabio Tesei, Alberto |
| author_facet | Punzo, Fabio Tesei, Alberto |
| contents | We study the Cauchy-Neumann problem on a regular metric tree T for the semilinear heat equation with forcing term of KPP type. Propagation and extinction of solutions, as well as asymptotical speed of propagation are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10712 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extinction and propagation phenomena for semilinear parabolic equations on metric trees Punzo, Fabio Tesei, Alberto Analysis of PDEs We study the Cauchy-Neumann problem on a regular metric tree T for the semilinear heat equation with forcing term of KPP type. Propagation and extinction of solutions, as well as asymptotical speed of propagation are investigated. |
| title | Extinction and propagation phenomena for semilinear parabolic equations on metric trees |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.10712 |