Email this article Darboux Moutard Transformations and Poincaré—Steklov Operators
- Authors: Novikov R.G.1, Taimanov I.A.2,3
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Affiliations:
- CNRS (UMR 7641), Centre de Mathématiques Appliquées, École Polytechnique
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 302, No 1 (2018)
- Pages: 315-324
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175647
- DOI: https://doi.org/10.1134/S0081543818060160
- ID: 175647
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Abstract
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.
About the authors
R. G. Novikov
CNRS (UMR 7641), Centre de Mathématiques Appliquées, École Polytechnique
Author for correspondence.
Email: novikov@cmap.polytechnique.fr
France, Palaiseau Cedex, 91128
I. A. Taimanov
Sobolev Institute of Mathematics; Novosibirsk State University
Email: novikov@cmap.polytechnique.fr
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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