On the uniqueness for the heat equation with density on infinite graphs
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909458262654976 |
|---|---|
| author | Meglioli, Giulia |
| author_facet | Meglioli, Giulia |
| contents | We study the uniqueness of solutions to a class of heat equations with positive density posed on infinite weighted graphs. We separately consider the case when the density is bounded from below by a positive constant and the case of possibly vanishing density, showing that these two scenarios lead to two different classes of uniqueness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03617 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the uniqueness for the heat equation with density on infinite graphs Meglioli, Giulia Analysis of PDEs We study the uniqueness of solutions to a class of heat equations with positive density posed on infinite weighted graphs. We separately consider the case when the density is bounded from below by a positive constant and the case of possibly vanishing density, showing that these two scenarios lead to two different classes of uniqueness. |
| title | On the uniqueness for the heat equation with density on infinite graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.03617 |