R. G. Novikov, I. A. Taimanov, “Darboux–Moutard transformations and Poincaré–Steklov operators”, Trudy Mat. Inst. Steklova, 2018, Volume 302,Pages <nobr>334–342</nobr>

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Trudy Mat. Inst. Steklova, 2018 Volume 302, Pages 334–342 (Mi tm3938)

This article is cited in 6 papers

Darboux–Moutard transformations and Poincaré–Steklov operators

R. G. Novikov^a, I. A. Taimanov^bc

^a CNRS (UMR 7641), Centre de Mathéematiques Appliquées, École Polytechnique, route de Saclay, 91128 Palaiseau Cedex, France
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090 Russia
^c Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia

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.

UDC: 517.956.227+517.984.64

Received: July 14, 2018

DOI: 10.1134/S0371968518030160

English version: Proceedings of the Steklov Institute of Mathematics, 2018, 302, 315–324

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