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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 2, Pages 9–22
DOI: https://doi.org/10.4213/faa291 (Mi faa291) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Poincaré–Steklov Integral Equations and the Riemann Monodromy Problem

A. B. Bogatyrevab

a Institute of Numerical Mathematics, Russian Academy of Sciences
b Moscow Institute of Physics and Technology
Full-text PDF (460 kB) Citations (15)
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DOI: https://doi.org/10.4213/faa291
Abstract: We consider the Poincaré–Steklov singular integral equation obtained by reducing a boundary value problem for the Laplace operator with a spectral parameter in the boundary condition to the boundary. It is shown that this equation can be restated equivalently in terms of the classical Riemann monodromy problem. Several equations of this type are solved in elliptic functions.
Received: 24.02.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 2, Pages 86–97
DOI: https://doi.org/10.1007/BF02482421
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. B. Bogatyrev, “Poincaré–Steklov Integral Equations and the Riemann Monodromy Problem”, Funktsional. Anal. i Prilozhen., 34:2 (2000), 9–22; Funct. Anal. Appl., 34:2 (2000), 86–97
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa291
  • https://doi.org/10.4213/faa291
  • https://www.mathnet.ru/eng/faa/v34/i2/p9
    • This publication is cited in the following 15 articles:
    1. Dominik Broshko, Nadezhda Velichko, “INVESTIGATION OF ENRICHING MEAT SEMI-FINISHED PRODUCTS WITH CRUCIFEROUS PROTEIN CONCENTRATES POSSIBILITY”, Bulletin of KSAU, 2024, no. 1, 171  crossref
    2. Mityushev V.V., “Composites with invisible inclusions: Eigenvalues of -linear problem”, Eur. J. Appl. Math., 27:5 (2016), 796–806  crossref  mathscinet  zmath  isi  elib  scopus
    3. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 15  crossref
    4. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 89  crossref
    5. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 115  crossref
    6. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 73  crossref
    7. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 1  crossref
    8. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 53  crossref
    9. Andrei Bogatyrev, Springer Monographs in Mathematics, Extremal Polynomials and Riemann Surfaces, 2012, 29  crossref
    10. Bogatyrev A.B., “Pictorial Representation for Antisymmetric Eigenfunctions of PS-3 Integral Equations”, Math Phys Anal Geom, 13:2 (2010), 105–143  crossref  mathscinet  zmath  isi  elib  scopus
    11. Bogatyrev A., “Poincaré-Steklov Integral Equations and Moduli of Pants”, Analysis and Mathematical Physics, Trends in Mathematics, 2009, 21–48  mathscinet  zmath  isi
    12. Andrei Bogatyrev, Analysis and Mathematical Physics, 2009, 21  crossref
    13. Bogatyrev, AB, “Antisymmetric solutions of Poincaré-Steklov integral equations”, Doklady Mathematics, 77:3 (2008), 378  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    14. A. B. Bogatyrev, “PS3 integral equations and projective structures on Riemann surfaces”, Sb. Math., 192:4 (2001), 479–514  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    15. A. B. Bogatyrev, “Manifolds of support sets of Chebyshev polynomials”, Math. Notes, 67:6 (2000), 699–706  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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