Darboux Moutard Transformations and Poincaré—Steklov Operators
- Autores: Novikov R.G.1, Taimanov I.A.2,3
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Afiliações:
- CNRS (UMR 7641), Centre de Mathématiques Appliquées, École Polytechnique
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Edição: Volume 302, Nº 1 (2018)
- Páginas: 315-324
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175647
- DOI: https://doi.org/10.1134/S0081543818060160
- ID: 175647
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Resumo
Formulas relating Poincaré–Steklov operators for Schrödinger equations related by Darboux–Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary.
Sobre autores
R. Novikov
CNRS (UMR 7641), Centre de Mathématiques Appliquées, École Polytechnique
Autor responsável pela correspondência
Email: novikov@cmap.polytechnique.fr
França, Palaiseau Cedex, 91128
I. Taimanov
Sobolev Institute of Mathematics; Novosibirsk State University
Email: novikov@cmap.polytechnique.fr
Rússia, pr. Akademika Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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