Dynamical inverse problem for the discrete Schrödinger operator
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916759282384896 |
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| author | Mikhaylov, A. S. Mikhaylov, A. S. |
| author_facet | Mikhaylov, A. S. Mikhaylov, A. S. |
| contents | We consider the inverse problem for the dynamical system with discrete Schrödinger 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 Schrödinger operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical inverse problem for the discrete Schrödinger operator Mikhaylov, A. S. Mikhaylov, A. S. Analysis of PDEs Spectral Theory We consider the inverse problem for the dynamical system with discrete Schrödinger 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 Schrödinger operator. |
| title | Dynamical inverse problem for the discrete Schrödinger operator |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2505.19711 |