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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 302, Pages 334–342
DOI: https://doi.org/10.1134/S0371968518030160 (Mi tm3938) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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
Full-text PDF (194 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968518030160
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.
Received: July 14, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 302, Pages 315–324
DOI: https://doi.org/10.1134/S0081543818060160
Bibliographic databases:
Document Type: Article
UDC: 517.956.227+517.984.64
Language: Russian
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, Trudy 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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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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