An inverse problem for semilinear wave equations on metric tree graphs
Analysis of PDEs
2026-03-30 v1
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.
Cite
@article{arxiv.2603.26170,
title = {An inverse problem for semilinear wave equations on metric tree graphs},
author = {Sergei Avdonin and Matti Lassas and Jinpeng Lu and Medet Nursultanov and Lauri Oksanen},
journal= {arXiv preprint arXiv:2603.26170},
year = {2026}
}