An inverse problem for semilinear wave equations on metric tree graphs
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910077923885056 |
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| author | Avdonin, Sergei Lassas, Matti Lu, Jinpeng Nursultanov, Medet Oksanen, Lauri |
| author_facet | Avdonin, Sergei Lassas, Matti Lu, Jinpeng Nursultanov, Medet Oksanen, Lauri |
| contents | We study the inverse problem for a semilinear wave equation on metric tree graphs. From the Dirichlet-to-Neumann map defined at all but one of the boundary vertices, we recover unknown connectivity of the graph, lengths of the edges, the time-independent potential and the time-dependent coefficient of the nonlinear term of the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26170 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An inverse problem for semilinear wave equations on metric tree graphs Avdonin, Sergei Lassas, Matti Lu, Jinpeng Nursultanov, Medet Oksanen, Lauri Analysis of PDEs 35R30, 35L71, 34B45 We study the inverse problem for a semilinear wave equation on metric tree graphs. From the Dirichlet-to-Neumann map defined at all but one of the boundary vertices, we recover unknown connectivity of the graph, lengths of the edges, the time-independent potential and the time-dependent coefficient of the nonlinear term of the equation. |
| title | An inverse problem for semilinear wave equations on metric tree graphs |
| topic | Analysis of PDEs 35R30, 35L71, 34B45 |
| url | https://arxiv.org/abs/2603.26170 |