On an inverse dynamic problem for the wave equation with a potential on a real line
Analysis of PDEs
2025-09-24 v2
Abstract
We consider the inverse dynamic problem for the wave equation with a potential on a real line. The forward initial-boundary value problem is set up with a help of boundary triplets. As an inverse data we use an analog of a response operator (dynamic Dirichlet-to-Neumann map). We derive equations of inverse problem and also point out the relationship between dynamic inverse problem and spectral inverse problem from a matrix-valued measure.
Cite
@article{arxiv.2505.17668,
title = {On an inverse dynamic problem for the wave equation with a potential on a real line},
author = {A. S. Mikhaylov and V. S. Mikhaylov},
journal= {arXiv preprint arXiv:2505.17668},
year = {2025}
}