Uniqueness of solutions to elliptic and parabolic equations on metric graphs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909524592427008 |
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| author | Meglioli, Giulia Punzo, Fabio |
| author_facet | Meglioli, Giulia Punzo, Fabio |
| contents | We investigate uniqueness of solutions to certain classes of elliptic and parabolic equations posed on metric graphs. In particular, we address the linear Schrödinger equation with a potential, and the heat equation with a variable density. We assume suitable growth conditions on the solutions, which are related to the behaviour at infinity of the potential or of the density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02551 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness of solutions to elliptic and parabolic equations on metric graphs Meglioli, Giulia Punzo, Fabio Analysis of PDEs We investigate uniqueness of solutions to certain classes of elliptic and parabolic equations posed on metric graphs. In particular, we address the linear Schrödinger equation with a potential, and the heat equation with a variable density. We assume suitable growth conditions on the solutions, which are related to the behaviour at infinity of the potential or of the density. |
| title | Uniqueness of solutions to elliptic and parabolic equations on metric graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.02551 |