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Darboux Moutard Transformations and Poincaré—Steklov Operators

Proceedings of the Steklov Institute of Mathematics Aims and scope Submit manuscript

To S. P. Novikov on his 80th birthday

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.

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Author information

Authors and Affiliations

  1. CNRS (UMR 7641), Centre de Mathématiques Appliquées, École Polytechnique, route de Saclay, 91128, Palaiseau Cedex, France

    R. G. Novikov

  2. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia

    I. A. Taimanov

  3. Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russia

    I. A. Taimanov

Authors
  1. R. G. Novikov
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  2. I. A. Taimanov
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Correspondence to R. G. Novikov.

Additional information

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 302, pp. 334–342.

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Novikov, R.G., Taimanov, I.A. Darboux Moutard Transformations and Poincaré—Steklov Operators. Proc. Steklov Inst. Math. 302, 315–324 (2018). https://doi.org/10.1134/S0081543818060160

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  • DOI: https://doi.org/10.1134/S0081543818060160

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