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Algebra i Analiz, 2014, Volume 26, Issue 6, Pages 198–215 (Mi aa1413)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Riemann–Hilbert approach to the inverse problem for the Schrödinger operator on the half-line

R. Shterenberga, V. Sukhanovb

a Department of Mathematics, University of Alabama at Birmingham, 1300 University Blvd., Birmingham, AL, 35294-1170, USA
b Department of Mathematical Physics, Institute of Physics, St. Petersburg State University, 198904, St. Petersburg, Petrodworetz, Ulyanovskaya Str., 1, Russia
Full-text PDF (218 kB) Citations (2)
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Abstract: A simple yet complete construction of the inverse problem for the Schrödinger operator on the half-line is presented in terms of the Riemann–Hilbert approach.
Keywords: Schrödinger operator, inverse problem, Riemann–Hilbert problem.
Received: 12.08.2013
English version:
St. Petersburg Mathematical Journal, 2015, Volume 26, Issue 6, Pages 1005–1017
DOI: https://doi.org/10.1090/spmj/1372
Bibliographic databases:
Document Type: Article
Language: English
Citation: R. Shterenberg, V. Sukhanov, “Riemann–Hilbert approach to the inverse problem for the Schrödinger operator on the half-line”, Algebra i Analiz, 26:6 (2014), 198–215; St. Petersburg Math. J., 26:6 (2015), 1005–1017
Citation in format AMSBIB
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\paper Riemann--Hilbert approach to the inverse problem for the Schr\"odinger operator on the half-line
\jour Algebra i Analiz
\yr 2014
\vol 26
\issue 6
\pages 198--215
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\transl
\jour St. Petersburg Math. J.
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\vol 26
\issue 6
\pages 1005--1017
\crossref{https://doi.org/10.1090/spmj/1372}
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Linking options:
  • https://www.mathnet.ru/eng/aa1413
  • https://www.mathnet.ru/eng/aa/v26/i6/p198
    • This publication is cited in the following 2 articles:
    1. V. V. Sukhanov, “Zadacha Rimana–Gilberta dlya odnomernogo operatora Shredingera s potentsialom v vide summy paraboly i finitnogo potentsiala”, Matematicheskie voprosy teorii rasprostraneniya voln. 53, Zap. nauchn. sem. POMI, 521, POMI, SPb., 2023, 240–258  mathnet
    2. Its A., Sukhanov V., “A Riemann–Hilbert approach to the inverse problem for the Stark operator on the line”, Inverse Probl., 32:5 (2016), 055003  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:479
    Full-text PDF :101
    References:82
    First page:40
     
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