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arXiv · 2505.19711

Dynamical inverse problem for the discrete Schr\"odinger operator

A. S. Mikhaylov
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Abstract

We consider the inverse problem for the dynamical system with discrete Schr\"odinger operator and discrete time. As an inverse data we take a \emph{response operator}, the natural analog of the dynamical Dirichlet-to-Neumann map. We derive two types of equations of inverse problem and answer a question on the characterization of the inverse data, i.e. we describe the set of operators, which are \emph{response operators} of the dynamical system governed by the discrete Schr\"odinger operator.

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A. S. Mikhaylov. 2025-05-26. Dynamical inverse problem for the discrete Schr\"odinger operator. https://doi.org/10.17586/2220-8054-2016-7-5-842-853

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