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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 14 scientific papers (total in 14 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 (14)
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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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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :270
    References:72
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