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

Darboux–Moutard transformations and Poincaré–Steklov operators

R. G. Novikova, I. A. Taimanovbc

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.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-51-150001
Centre National de la Recherche Scientifique 1545
The work was supported by a joint grant of the Russian Foundation for Basic Research and CNRS (project no. RFBR 17-51-150001 NCNI_a/PRC 1545 CNRS/RFBR) and performed during the visit of the second author to Centre de Mathématiques Appliquées of École Polytechnique.


DOI: https://doi.org/10.1134/S0371968518030160

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

Bibliographic databases:

Document Type: Article
UDC: 517.956.227+517.984.64
Received: July 14, 2018

Citation: R. G. Novikov, I. A. Taimanov, “Darboux–Moutard transformations and Poincaré–Steklov operators”, Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Tr. Mat. Inst. Steklova, 302, MAIK Nauka/Interperiodica, Moscow, 2018, 334–342; Proc. Steklov Inst. Math., 302 (2018), 315–324

Citation in format AMSBIB
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\pages 334--342
\publ MAIK Nauka/Interperiodica
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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