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arXiv · 2603.26170

An inverse problem for semilinear wave equations on metric tree graphs

Sergei Avdonin·Matti Lassas·Jinpeng Lu·Medet Nursultanov·Lauri Oksanen
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Abstract

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.

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Sergei Avdonin, Matti Lassas, Jinpeng Lu, Medet Nursultanov, Lauri Oksanen. 2026-03-27. An inverse problem for semilinear wave equations on metric tree graphs. https://arxiv.org/abs/2603.26170

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