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arXiv · 2505.17668

On an inverse dynamic problem for the wave equation with a potential on a real line

A. S. Mikhaylov·V. S. Mikhaylov
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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.

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A. S. Mikhaylov, V. S. Mikhaylov. 2025-05-23. On an inverse dynamic problem for the wave equation with a potential on a real line. https://doi.org/10.1007/s10958-019-04268-z

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