Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912220810575872 |
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| author | Carrllo, Hugo Mercado, Alberto Morales, Roberto |
| author_facet | Carrllo, Hugo Mercado, Alberto Morales, Roberto |
| contents | In this article, we consider an inverse problem involving the simultaneous reconstruction of two real valued potentials for a Schrödinger equation with mixed boundary conditions: a dynamic boundary condition of Wentzell type and a Dirichler boundary condition. The main result of this paper is a Lipschitz stability estimate for such potentials from a single measurement of the flux. This result is deduced using the Bukhgeim-Klibanov method and a suitable Carleman estimate where the weight function depends on Minkowski's functional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02758 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions Carrllo, Hugo Mercado, Alberto Morales, Roberto Analysis of PDEs Optimization and Control In this article, we consider an inverse problem involving the simultaneous reconstruction of two real valued potentials for a Schrödinger equation with mixed boundary conditions: a dynamic boundary condition of Wentzell type and a Dirichler boundary condition. The main result of this paper is a Lipschitz stability estimate for such potentials from a single measurement of the flux. This result is deduced using the Bukhgeim-Klibanov method and a suitable Carleman estimate where the weight function depends on Minkowski's functional. |
| title | Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2502.02758 |